151879311360 has 896 divisors, whose sum is σ = 644709058560. Its totient is φ = 33166983168.

The previous prime is 151879311307. The next prime is 151879311377. The reversal of 151879311360 is 63113978151.

151879311360 is a `hidden beast` number, since 1 + 518 + 7 + 93 + 11 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 178052694 + ... + 178053546.

It is an arithmetic number, because the mean of its divisors is an integer number (719541360).

Almost surely, 2^151879311360 is an apocalyptic number.

151879311360 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 151879311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322354529280).

151879311360 is an abundant number, since it is smaller than the sum of its proper divisors (492829747200).

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

151879311360 is an equidigital number, since it uses as much as digits as its factorization.

151879311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 151879311360 in words is "one hundred fifty-one billion, eight hundred seventy-nine million, three hundred eleven thousand, three hundred sixty".