157890505968 has 360 divisors, whose sum is σ = 497927713920. Its totient is φ = 46379796480.

The previous prime is 157890505967. The next prime is 157890505979. The reversal of 157890505968 is 869505098751.

157890505968 is a `hidden beast` number, since 1 + 578 + 9 + 0 + 5 + 0 + 59 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157890505963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689478078 + ... + 689478306.

Almost surely, 2^157890505968 is an apocalyptic number.

157890505968 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 157890505968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248963856960).

157890505968 is an abundant number, since it is smaller than the sum of its proper divisors (340037207952).

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

157890505968 is a wasteful number, since it uses less digits than its factorization.

157890505968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 157890505968 in words is "one hundred fifty-seven billion, eight hundred ninety million, five hundred five thousand, nine hundred sixty-eight".