157429382880 has 576 divisors, whose sum is σ = 628063027200. Its totient is φ = 32444375040.

The previous prime is 157429382879. The next prime is 157429382923. The reversal of 157429382880 is 88283924751.

157429382880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157429382880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51631596 + ... + 51634644.

It is an arithmetic number, because the mean of its divisors is an integer number (1090387200).

Almost surely, 2^157429382880 is an apocalyptic number.

157429382880 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 157429382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314031513600).

157429382880 is an abundant number, since it is smaller than the sum of its proper divisors (470633644320).

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

157429382880 is a wasteful number, since it uses less digits than its factorization.

157429382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 157429382880 in words is "one hundred fifty-seven billion, four hundred twenty-nine million, three hundred eighty-two thousand, eight hundred eighty".