1050864249600 has 324 divisors, whose sum is σ = 4098631780152. Its totient is φ = 254754816000.

The previous prime is 1050864249551. The next prime is 1050864249601. The reversal of 1050864249600 is 69424680501.

1050864249600 is a `hidden beast` number, since 1 + 0 + 508 + 6 + 42 + 49 + 60 + 0 = 666.

It is a super-2 number, since 2×1050864249600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1050864249601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195681 + ... + 1462880.

Almost surely, 2^{1050864249600} is an apocalyptic number.

1050864249600 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 1050864249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049315890076).

1050864249600 is an abundant number, since it is smaller than the sum of its proper divisors (3047767530552).

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

1050864249600 is a wasteful number, since it uses less digits than its factorization.

1050864249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658604 (or 1658582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1050864249600 in words is "one trillion, fifty billion, eight hundred sixty-four million, two hundred forty-nine thousand, six hundred".