157964212560 has 720 divisors, whose sum is σ = 646509620736. Its totient is φ = 31756032000.

The previous prime is 157964212481. The next prime is 157964212561. The reversal of 157964212560 is 65212469751.

157964212560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157964212561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44109970 + ... + 44113550.

Almost surely, 2^157964212560 is an apocalyptic number.

157964212560 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 157964212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323254810368).

157964212560 is an abundant number, since it is smaller than the sum of its proper divisors (488545408176).

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

157964212560 is a wasteful number, since it uses less digits than its factorization.

157964212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 157964212560 in words is "one hundred fifty-seven billion, nine hundred sixty-four million, two hundred twelve thousand, five hundred sixty".