157041687168720 has 120 divisors (see below), whose sum is σ = 527601732123336. Its totient is φ = 41861632425984.

The previous prime is 157041687168719. The next prime is 157041687168739. The reversal of 157041687168720 is 27861786140751.

157041687168720 is a `hidden beast` number, since 1 + 5 + 70 + 416 + 8 + 71 + 6 + 87 + 2 + 0 = 666.

157041687168720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11192878771776 + 145848808396944 = 3345576^2 + 12076788^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×157041687168720³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 40191169 + ... + 43925088.

Almost surely, 2^{157041687168720} is an apocalyptic number.

157041687168720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157041687168720 is an abundant number, since it is smaller than the sum of its proper divisors (370560044954616).

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

157041687168720 is a wasteful number, since it uses less digits than its factorization.

157041687168720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84118869 (or 84118860 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 157041687168720 in words is "one hundred fifty-seven trillion, forty-one billion, six hundred eighty-seven million, one hundred sixty-eight thousand, seven hundred twenty".