157291217280 has 384 divisors, whose sum is σ = 592919308800. Its totient is φ = 39735982080.

The previous prime is 157291217267. The next prime is 157291217323. The reversal of 157291217280 is 82712192751.

157291217280 is a `hidden beast` number, since 1 + 5 + 72 + 91 + 217 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2928265 + ... + 2981495.

It is an arithmetic number, because the mean of its divisors is an integer number (1544060700).

Almost surely, 2^157291217280 is an apocalyptic number.

157291217280 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 157291217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296459654400).

157291217280 is an abundant number, since it is smaller than the sum of its proper divisors (435628091520).

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

157291217280 is an equidigital number, since it uses as much as digits as its factorization.

157291217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53284 (or 53260 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 157291217280 in words is "one hundred fifty-seven billion, two hundred ninety-one million, two hundred seventeen thousand, two hundred eighty".