157668507360 has 864 divisors, whose sum is σ = 713752445952. Its totient is φ = 31306383360.

The previous prime is 157668507319. The next prime is 157668507449. The reversal of 157668507360 is 63705866751.

157668507360 is a `hidden beast` number, since 1 + 5 + 76 + 6 + 8 + 507 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157668507297 and 157668507306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15588705 + ... + 15598815.

It is an arithmetic number, because the mean of its divisors is an integer number (826102368).

Almost surely, 2^157668507360 is an apocalyptic number.

157668507360 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 157668507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356876222976).

157668507360 is an abundant number, since it is smaller than the sum of its proper divisors (556083938592).

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

157668507360 is a wasteful number, since it uses less digits than its factorization.

157668507360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 157668507360 in words is "one hundred fifty-seven billion, six hundred sixty-eight million, five hundred seven thousand, three hundred sixty".