16235056400 has 60 divisors (see below), whose sum is σ = 39070416000. Its totient is φ = 6483085440.

The previous prime is 16235056363. The next prime is 16235056417. The reversal of 16235056400 is 465053261.

It is a super-2 number, since 2×16235056400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205721 + ... + 273479.

It is an arithmetic number, because the mean of its divisors is an integer number (651173600).

Almost surely, 2^16235056400 is an apocalyptic number.

16235056400 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 16235056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535208000).

16235056400 is an abundant number, since it is smaller than the sum of its proper divisors (22835359600).

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

16235056400 is a wasteful number, since it uses less digits than its factorization.

16235056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68376 (or 68365 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 16235056400 in words is "sixteen billion, two hundred thirty-five million, fifty-six thousand, four hundred".