16157976143400 has 576 divisors, whose sum is σ = 66799750792320. Its totient is φ = 3408468940800.

The previous prime is 16157976143357. The next prime is 16157976143417. The reversal of 16157976143400 is 434167975161.

It is a happy number.

16157976143400 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 7 + 97 + 6 + 143 + 400 = 666.

It is a super-2 number, since 2×16157976143400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1625382430 + ... + 1625392370.

It is an arithmetic number, because the mean of its divisors is an integer number (115971789570).

Almost surely, 2^{16157976143400} is an apocalyptic number.

16157976143400 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 16157976143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33399875396160).

16157976143400 is an abundant number, since it is smaller than the sum of its proper divisors (50641774648920).

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

16157976143400 is a wasteful number, since it uses less digits than its factorization.

16157976143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19906 (or 19894 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 16157976143400 in words is "sixteen trillion, one hundred fifty-seven billion, nine hundred seventy-six million, one hundred forty-three thousand, four hundred".