16413292800 has 324 divisors, whose sum is σ = 59440501120. Its totient is φ = 4320276480.

The previous prime is 16413292799. The next prime is 16413292811. The reversal of 16413292800 is 829231461.

16413292800 is a `hidden beast` number, since 1 + 641 + 3 + 2 + 9 + 2 + 8 + 0 + 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 35 ways as a sum of consecutive naturals, for example, 4548597 + ... + 4552203.

Almost surely, 2^16413292800 is an apocalyptic number.

16413292800 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 16413292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29720250560).

16413292800 is an abundant number, since it is smaller than the sum of its proper divisors (43027208320).

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

16413292800 is a wasteful number, since it uses less digits than its factorization.

16413292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16413292800 in words is "sixteen billion, four hundred thirteen million, two hundred ninety-two thousand, eight hundred".