1156252800 has 192 divisors, whose sum is σ = 3898366560. Its totient is φ = 301056000.

The previous prime is 1156252789. The next prime is 1156252813. The reversal of 1156252800 is 82526511.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411400 + ... + 414200.

Almost surely, 2^1156252800 is an apocalyptic number.

1156252800 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 1156252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949183280).

1156252800 is an abundant number, since it is smaller than the sum of its proper divisors (2742113760).

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

1156252800 is a wasteful number, since it uses less digits than its factorization.

1156252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1156252800 is about 34003.7174438325. The cubic root of 1156252800 is about 1049.5849606833.

The spelling of 1156252800 in words is "one billion, one hundred fifty-six million, two hundred fifty-two thousand, eight hundred".