16162912400 has 180 divisors, whose sum is σ = 41484063600. Its totient is φ = 6034798080.

The previous prime is 16162912387. The next prime is 16162912417. The reversal of 16162912400 is 421926161.

It is a super-2 number, since 2×16162912400² (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 35 ways as a sum of consecutive naturals, for example, 90295511 + ... + 90295689.

It is an arithmetic number, because the mean of its divisors is an integer number (230467020).

Almost surely, 2^16162912400 is an apocalyptic number.

16162912400 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 16162912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742031800).

16162912400 is an abundant number, since it is smaller than the sum of its proper divisors (25321151200).

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

16162912400 is a wasteful number, since it uses less digits than its factorization.

16162912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 16162912400 in words is "sixteen billion, one hundred sixty-two million, nine hundred twelve thousand, four hundred".