151638638215680 has 6400 divisors, whose sum is σ = 764074393251840. Its totient is φ = 28095004016640.

The previous prime is 151638638215679. The next prime is 151638638215693. The reversal of 151638638215680 is 86512836836151.

151638638215680 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 3 + 8 + 63 + 8 + 2 + 1 + 568 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 7980980958711 + ... + 7980980958729.

Almost surely, 2^{151638638215680} is an apocalyptic number.

151638638215680 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 151638638215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382037196625920).

151638638215680 is an abundant number, since it is smaller than the sum of its proper divisors (612435755036160).

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

151638638215680 is an frugal number, since it uses more digits than its factorization.

151638638215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 151638638215680 in words is "one hundred fifty-one trillion, six hundred thirty-eight billion, six hundred thirty-eight million, two hundred fifteen thousand, six hundred eighty".