157682390681088 has 3200 divisors, whose sum is σ = 623755410432000. Its totient is φ = 38543559229440.

The previous prime is 157682390681033. The next prime is 157682390681107. The reversal of 157682390681088 is 880186093286751.

157682390681088 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 82 + 390 + 6 + 81 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 315996774663 + ... + 315996775161.

It is an arithmetic number, because the mean of its divisors is an integer number (194923565760).

Almost surely, 2^{157682390681088} is an apocalyptic number.

157682390681088 is a gapful number since it is divisible by the number (18) 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 157682390681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311877705216000).

157682390681088 is an abundant number, since it is smaller than the sum of its proper divisors (466073019750912).

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

157682390681088 is a wasteful number, since it uses less digits than its factorization.

157682390681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 157682390681088 in words is "one hundred fifty-seven trillion, six hundred eighty-two billion, three hundred ninety million, six hundred eighty-one thousand, eighty-eight".