16612898400 has 432 divisors, whose sum is σ = 67565613024. Its totient is φ = 3762339840.

The previous prime is 16612898399. The next prime is 16612898411. The reversal of 16612898400 is 489821661.

16612898400 is a `hidden beast` number, since 166 + 1 + 2 + 89 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5693742 + ... + 5696658.

It is an arithmetic number, because the mean of its divisors is an integer number (156401882).

Almost surely, 2^16612898400 is an apocalyptic number.

16612898400 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 16612898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782806512).

16612898400 is an abundant number, since it is smaller than the sum of its proper divisors (50952714624).

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

16612898400 is a wasteful number, since it uses less digits than its factorization.

16612898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16612898400 in words is "sixteen billion, six hundred twelve million, eight hundred ninety-eight thousand, four hundred".