157412724480 has 432 divisors, whose sum is σ = 599456029536. Its totient is φ = 37819514880.

The previous prime is 157412724437. The next prime is 157412724529. The reversal of 157412724480 is 84427214751.

157412724480 is a `hidden beast` number, since 1 + 57 + 412 + 72 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14313864 + ... + 14324856.

It is an arithmetic number, because the mean of its divisors is an integer number (1387629698).

Almost surely, 2^157412724480 is an apocalyptic number.

157412724480 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 157412724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299728014768).

157412724480 is an abundant number, since it is smaller than the sum of its proper divisors (442043305056).

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

157412724480 is a wasteful number, since it uses less digits than its factorization.

157412724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 157412724480 in words is "one hundred fifty-seven billion, four hundred twelve million, seven hundred twenty-four thousand, four hundred eighty".