15902332416 has 240 divisors, whose sum is σ = 49626548400. Its totient is φ = 4885069824.

The previous prime is 15902332409. The next prime is 15902332469. The reversal of 15902332416 is 61423320951.

15902332416 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 233 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236970 + ... + 3241878.

It is an arithmetic number, because the mean of its divisors is an integer number (206777285).

Almost surely, 2^15902332416 is an apocalyptic number.

15902332416 is a gapful number since it is divisible by the number (16) 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 15902332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24813274200).

15902332416 is an abundant number, since it is smaller than the sum of its proper divisors (33724215984).

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

15902332416 is a wasteful number, since it uses less digits than its factorization.

15902332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 15902332416 in words is "fifteen billion, nine hundred two million, three hundred thirty-two thousand, four hundred sixteen".