2156158088400 has 120 divisors (see below), whose sum is σ = 6908864929344. Its totient is φ = 574811340800.

The previous prime is 2156158088363. The next prime is 2156158088411. The reversal of 2156158088400 is 48808516512.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2156158088400.

It is a congruent number.

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, 3977680 + ... + 4487120.

Almost surely, 2^{2156158088400} is an apocalyptic number.

2156158088400 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 2156158088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454432464672).

2156158088400 is an abundant number, since it is smaller than the sum of its proper divisors (4752706840944).

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

2156158088400 is a wasteful number, since it uses less digits than its factorization.

2156158088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512989 (or 512978 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 2156158088400 in words is "two trillion, one hundred fifty-six billion, one hundred fifty-eight million, eighty-eight thousand, four hundred".