157606767360 has 972 divisors, whose sum is σ = 660415811328. Its totient is φ = 35930345472.

The previous prime is 157606767359. The next prime is 157606767371. The reversal of 157606767360 is 63767606751.

It is a happy number.

157606767360 is a `hidden beast` number, since 1 + 576 + 0 + 6 + 7 + 6 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×157606767360² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 157606767297 and 157606767306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 411505729 + ... + 411506111.

Almost surely, 2^157606767360 is an apocalyptic number.

157606767360 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 157606767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330207905664).

157606767360 is an abundant number, since it is smaller than the sum of its proper divisors (502809043968).

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

157606767360 is an frugal number, since it uses more digits than its factorization.

157606767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 157606767360 in words is "one hundred fifty-seven billion, six hundred six million, seven hundred sixty-seven thousand, three hundred sixty".