16356000960 has 336 divisors, whose sum is σ = 62228065536. Its totient is φ = 3916947456.

The previous prime is 16356000919. The next prime is 16356000977. The reversal of 16356000960 is 6900065361.

16356000960 is a `hidden beast` number, since 1 + 6 + 3 + 560 + 0 + 0 + 96 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 1379377 + ... + 1391183.

It is an arithmetic number, because the mean of its divisors is an integer number (185202576).

Almost surely, 2^16356000960 is an apocalyptic number.

16356000960 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 16356000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114032768).

16356000960 is an abundant number, since it is smaller than the sum of its proper divisors (45872064576).

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

16356000960 is a wasteful number, since it uses less digits than its factorization.

16356000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 16356000960 in words is "sixteen billion, three hundred fifty-six million, nine hundred sixty", and thus it is an aban number.