157987065600 has 2160 divisors, whose sum is σ = 765109654848. Its totient is φ = 31213486080.

The previous prime is 157987065589. The next prime is 157987065629. The reversal of 157987065600 is 6560789751.

157987065600 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 8 + 70 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 801964702 + ... + 801964898.

Almost surely, 2^157987065600 is an apocalyptic number.

157987065600 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 157987065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382554827424).

157987065600 is an abundant number, since it is smaller than the sum of its proper divisors (607122589248).

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

157987065600 is a wasteful number, since it uses less digits than its factorization.

157987065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 157987065600 in words is "one hundred fifty-seven billion, nine hundred eighty-seven million, sixty-five thousand, six hundred".