157052400960 has 896 divisors, whose sum is σ = 659538432000. Its totient is φ = 31376056320.

The previous prime is 157052400929. The next prime is 157052400961. The reversal of 157052400960 is 69004250751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157052400961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81331195 + ... + 81333125.

It is an arithmetic number, because the mean of its divisors is an integer number (736092000).

Almost surely, 2^157052400960 is an apocalyptic number.

157052400960 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 157052400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329769216000).

157052400960 is an abundant number, since it is smaller than the sum of its proper divisors (502486031040).

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

157052400960 is a wasteful number, since it uses less digits than its factorization.

157052400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 157052400960 in words is "one hundred fifty-seven billion, fifty-two million, four hundred thousand, nine hundred sixty".