1011268800 has 504 divisors, whose sum is σ = 3964401520. Its totient is φ = 253808640.

The previous prime is 1011268799. The next prime is 1011268801. The reversal of 1011268800 is 88621101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1011268799) and next prime (1011268801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1011268801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59486392 + ... + 59486408.

Almost surely, 2^1011268800 is an apocalyptic number.

1011268800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982200760).

1011268800 is an abundant number, since it is smaller than the sum of its proper divisors (2953132720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011268800 is an frugal number, since it uses more digits than its factorization.

1011268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1011268800 is about 31800.4528269646. The cubic root of 1011268800 is about 1003.7422448012.

Multiplying 1011268800 by its sum of digits (27), we get a square (27304257600 = 165240²).

1011268800 divided by its sum of digits (27) gives a square (37454400 = 6120²).

Multiplying 1011268800 by its product of nonzero digits (768), we get a square (776654438400 = 881280²).

Adding to 1011268800 its reverse (88621101), we get a palindrome (1099889901).

The spelling of 1011268800 in words is "one billion, eleven million, two hundred sixty-eight thousand, eight hundred".