157631879808 has 384 divisors, whose sum is σ = 500093368320. Its totient is φ = 47363678208.

The previous prime is 157631879777. The next prime is 157631879863. The reversal of 157631879808 is 808978136751.

157631879808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127430166 + ... + 127431402.

It is an arithmetic number, because the mean of its divisors is an integer number (1302326480).

Almost surely, 2^157631879808 is an apocalyptic number.

157631879808 is a gapful number since it is divisible by the number (18) 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 157631879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250046684160).

157631879808 is an abundant number, since it is smaller than the sum of its proper divisors (342461488512).

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

157631879808 is a wasteful number, since it uses less digits than its factorization.

157631879808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 157631879808 in words is "one hundred fifty-seven billion, six hundred thirty-one million, eight hundred seventy-nine thousand, eight hundred eight".