157965413760 has 1024 divisors, whose sum is σ = 701921894400. Its totient is φ = 32616898560.

The previous prime is 157965413713. The next prime is 157965413791. The reversal of 157965413760 is 67314569751.

157965413760 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 6 + 541 + 37 + 60 = 666.

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 = 157965413697 and 157965413706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302036859 + ... + 302037381.

It is an arithmetic number, because the mean of its divisors is an integer number (685470600).

Almost surely, 2^157965413760 is an apocalyptic number.

157965413760 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 157965413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350960947200).

157965413760 is an abundant number, since it is smaller than the sum of its proper divisors (543956480640).

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

157965413760 is a wasteful number, since it uses less digits than its factorization.

157965413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 157965413760 in words is "one hundred fifty-seven billion, nine hundred sixty-five million, four hundred thirteen thousand, seven hundred sixty".