157688687520 has 864 divisors, whose sum is σ = 699196313088. Its totient is φ = 33265354752.

The previous prime is 157688687501. The next prime is 157688687531. The reversal of 157688687520 is 25786886751.

157688687520 is a `hidden beast` number, since 1 + 576 + 8 + 8 + 6 + 8 + 7 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 24763377 + ... + 24769743.

It is an arithmetic number, because the mean of its divisors is an integer number (809254992).

Almost surely, 2^157688687520 is an apocalyptic number.

157688687520 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 157688687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349598156544).

157688687520 is an abundant number, since it is smaller than the sum of its proper divisors (541507625568).

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

157688687520 is a wasteful number, since it uses less digits than its factorization.

157688687520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6397 counting only the distinct ones).

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

The spelling of 157688687520 in words is "one hundred fifty-seven billion, six hundred eighty-eight million, six hundred eighty-seven thousand, five hundred twenty".