157170430480 has 480 divisors, whose sum is σ = 473626828800. Its totient is φ = 47366332416.

The previous prime is 157170430421. The next prime is 157170430481. The reversal of 157170430480 is 84034071751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (157170430481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242921517 + ... + 242922163.

It is an arithmetic number, because the mean of its divisors is an integer number (986722560).

Almost surely, 2^157170430480 is an apocalyptic number.

157170430480 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 157170430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236813414400).

157170430480 is an abundant number, since it is smaller than the sum of its proper divisors (316456398320).

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

157170430480 is a wasteful number, since it uses less digits than its factorization.

157170430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 157170430480 in words is "one hundred fifty-seven billion, one hundred seventy million, four hundred thirty thousand, four hundred eighty".