157661729280 has 480 divisors, whose sum is σ = 598968235008. Its totient is φ = 38009241600.

The previous prime is 157661729279. The next prime is 157661729317. The reversal of 157661729280 is 82927166751.

157661729280 is a `hidden beast` number, since 1 + 576 + 61 + 7 + 2 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 48405412 + ... + 48408668.

Almost surely, 2^157661729280 is an apocalyptic number.

157661729280 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 157661729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299484117504).

157661729280 is an abundant number, since it is smaller than the sum of its proper divisors (441306505728).

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

157661729280 is a wasteful number, since it uses less digits than its factorization.

157661729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 157661729280 in words is "one hundred fifty-seven billion, six hundred sixty-one million, seven hundred twenty-nine thousand, two hundred eighty".