157687971840 has 384 divisors, whose sum is σ = 624776087520. Its totient is φ = 36040605696.

The previous prime is 157687971829. The next prime is 157687971853. The reversal of 157687971840 is 48179786751.

157687971840 is a `hidden beast` number, since 1 + 576 + 8 + 7 + 9 + 7 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 10314282 + ... + 10329558.

Almost surely, 2^157687971840 is an apocalyptic number.

157687971840 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 157687971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312388043760).

157687971840 is an abundant number, since it is smaller than the sum of its proper divisors (467088115680).

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

157687971840 is an equidigital number, since it uses as much as digits as its factorization.

157687971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15325 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 157687971840 in words is "one hundred fifty-seven billion, six hundred eighty-seven million, nine hundred seventy-one thousand, eight hundred forty".