16390342800 has 360 divisors, whose sum is σ = 63921783744. Its totient is φ = 3858877440.

The previous prime is 16390342789. The next prime is 16390342807. The reversal of 16390342800 is 824309361.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16390342807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068787 + ... + 1084013.

Almost surely, 2^16390342800 is an apocalyptic number.

16390342800 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 16390342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31960891872).

16390342800 is an abundant number, since it is smaller than the sum of its proper divisors (47531440944).

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

16390342800 is a wasteful number, since it uses less digits than its factorization.

16390342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15287 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16390342800 in words is "sixteen billion, three hundred ninety million, three hundred forty-two thousand, eight hundred".