151401569679360 has 4608 divisors, whose sum is σ = 759528974131200. Its totient is φ = 28092137472000.

The previous prime is 151401569679341. The next prime is 151401569679397. The reversal of 151401569679360 is 63976965104151.

It is a happy number.

151401569679360 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 0 + 1 + 569 + 6 + 7 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60056154900 + ... + 60056157420.

It is an arithmetic number, because the mean of its divisors is an integer number (164828336400).

Almost surely, 2^{151401569679360} is an apocalyptic number.

151401569679360 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 151401569679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379764487065600).

151401569679360 is an abundant number, since it is smaller than the sum of its proper divisors (608127404451840).

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

151401569679360 is a wasteful number, since it uses less digits than its factorization.

151401569679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 151401569679360 in words is "one hundred fifty-one trillion, four hundred one billion, five hundred sixty-nine million, six hundred seventy-nine thousand, three hundred sixty".