157681646880 has 96 divisors (see below), whose sum is σ = 503501370624. Its totient is φ = 41472423936.

The previous prime is 157681646851. The next prime is 157681646897. The reversal of 157681646880 is 88646186751.

It is a happy number.

157681646880 is digitally balanced in base 2, 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 (96).

It is a super-3 number, since 3×157681646880³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 2214984 + ... + 2285063.

It is an arithmetic number, because the mean of its divisors is an integer number (5244805944).

Almost surely, 2^157681646880 is an apocalyptic number.

157681646880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157681646880 is an abundant number, since it is smaller than the sum of its proper divisors (345819723744).

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

157681646880 is a wasteful number, since it uses less digits than its factorization.

157681646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500138 (or 4500130 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 157681646880 in words is "one hundred fifty-seven billion, six hundred eighty-one million, six hundred forty-six thousand, eight hundred eighty".