157804468320 has 192 divisors, whose sum is σ = 535429730304. Its totient is φ = 38953052160.

The previous prime is 157804468309. The next prime is 157804468331. The reversal of 157804468320 is 23864408751.

It is an interprime number because it is at equal distance from previous prime (157804468309) and next prime (157804468331).

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

It is a self number, because there is not a number n which added to its sum of digits gives 157804468320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111694 + ... + 572786.

It is an arithmetic number, because the mean of its divisors is an integer number (2788696512).

Almost surely, 2^157804468320 is an apocalyptic number.

157804468320 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 157804468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267714865152).

157804468320 is an abundant number, since it is smaller than the sum of its proper divisors (377625261984).

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

157804468320 is a wasteful number, since it uses less digits than its factorization.

157804468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461165 (or 461157 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 157804468320 in words is "one hundred fifty-seven billion, eight hundred four million, four hundred sixty-eight thousand, three hundred twenty".