157686328800000 has 9720 divisors, whose sum is σ = 846454722242976. Its totient is φ = 28466380800000.

The previous prime is 157686328799969. The next prime is 157686328800071. The reversal of 157686328800000 is 8823686751.

157686328800000 is a `hidden beast` number, since 1 + 576 + 8 + 63 + 2 + 8 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157686328800000.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 9275666399992 + ... + 9275666400008.

Almost surely, 2^{157686328800000} is an apocalyptic number.

157686328800000 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 157686328800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423227361121488).

157686328800000 is an abundant number, since it is smaller than the sum of its proper divisors (688768393442976).

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

157686328800000 is an equidigital number, since it uses as much as digits as its factorization.

157686328800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 157686328800000 in words is "one hundred fifty-seven trillion, six hundred eighty-six billion, three hundred twenty-eight million, eight hundred thousand".