15852116016 has 400 divisors, whose sum is σ = 52729937568. Its totient is φ = 4553625600.

The previous prime is 15852115991. The next prime is 15852116029. The reversal of 15852116016 is 61061125851.

15852116016 is a `hidden beast` number, since 1 + 585 + 2 + 1 + 1 + 60 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21625986 + ... + 21626718.

Almost surely, 2^15852116016 is an apocalyptic number.

15852116016 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 15852116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26364968784).

15852116016 is an abundant number, since it is smaller than the sum of its proper divisors (36877821552).

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

15852116016 is a wasteful number, since it uses less digits than its factorization.

15852116016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 15852116016 in words is "fifteen billion, eight hundred fifty-two million, one hundred sixteen thousand, sixteen".