12157358400 has 1008 divisors, whose sum is σ = 50941882368. Its totient is φ = 2720256000.

The previous prime is 12157358387. The next prime is 12157358401. The reversal of 12157358400 is 485375121.

12157358400 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 73 + 584 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157358401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171230365 + ... + 171230435.

Almost surely, 2^12157358400 is an apocalyptic number.

12157358400 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 12157358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470941184).

12157358400 is an abundant number, since it is smaller than the sum of its proper divisors (38784523968).

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

12157358400 is a wasteful number, since it uses less digits than its factorization.

12157358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12157358400 in words is "twelve billion, one hundred fifty-seven million, three hundred fifty-eight thousand, four hundred".