2156510887200 has 1008 divisors, whose sum is σ = 8393497844256. Its totient is φ = 538920345600.

The previous prime is 2156510887151. The next prime is 2156510887231. The reversal of 2156510887200 is 27880156512.

2156510887200 is a `hidden beast` number, since 2 + 1 + 56 + 510 + 8 + 87 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×2156510887200² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4392078955 + ... + 4392079445.

It is an arithmetic number, because the mean of its divisors is an integer number (8326882782).

Almost surely, 2^{2156510887200} is an apocalyptic number.

2156510887200 is a gapful number since it is divisible by the number (20) 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 2156510887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196748922128).

2156510887200 is an abundant number, since it is smaller than the sum of its proper divisors (6236986957056).

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

2156510887200 is a wasteful number, since it uses less digits than its factorization.

2156510887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 2156510887200 in words is "two trillion, one hundred fifty-six billion, five hundred ten million, eight hundred eighty-seven thousand, two hundred".