157685280076800 has 7392 divisors, whose sum is σ = 774240623642880. Its totient is φ = 30958682112000.

The previous prime is 157685280076747. The next prime is 157685280076903. The reversal of 157685280076800 is 8670082586751.

157685280076800 is a `hidden beast` number, since 1 + 576 + 8 + 52 + 8 + 0 + 0 + 7 + 6 + 8 + 0 + 0 = 666.

157685280076800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1561240396750 + ... + 1561240396850.

Almost surely, 2^{157685280076800} is an apocalyptic number.

157685280076800 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 157685280076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387120311821440).

157685280076800 is an abundant number, since it is smaller than the sum of its proper divisors (616555343566080).

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

157685280076800 is a wasteful number, since it uses less digits than its factorization.

157685280076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 157685280076800 in words is "one hundred fifty-seven trillion, six hundred eighty-five billion, two hundred eighty million, seventy-six thousand, eight hundred".