157680230400 has 1512 divisors, whose sum is σ = 716539732272. Its totient is φ = 32440320000.

The previous prime is 157680230327. The next prime is 157680230437. The reversal of 157680230400 is 4032086751.

157680230400 is a `hidden beast` number, since 1 + 576 + 80 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1561190350 + ... + 1561190450.

Almost surely, 2^157680230400 is an apocalyptic number.

157680230400 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 157680230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358269866136).

157680230400 is an abundant number, since it is smaller than the sum of its proper divisors (558859501872).

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

157680230400 is a wasteful number, since it uses less digits than its factorization.

157680230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 157680230400 in words is "one hundred fifty-seven billion, six hundred eighty million, two hundred thirty thousand, four hundred".