16416400896 has 400 divisors, whose sum is σ = 56480697504. Its totient is φ = 4650172416.

The previous prime is 16416400879. The next prime is 16416400909. The reversal of 16416400896 is 69800461461.

16416400896 is a `hidden beast` number, since 164 + 1 + 6 + 400 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56028526 + ... + 56028818.

Almost surely, 2^16416400896 is an apocalyptic number.

16416400896 is a gapful number since it is divisible by the number (16) 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 16416400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240348752).

16416400896 is an abundant number, since it is smaller than the sum of its proper divisors (40064296608).

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

16416400896 is an equidigital number, since it uses as much as digits as its factorization.

16416400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16416400896 in words is "sixteen billion, four hundred sixteen million, four hundred thousand, eight hundred ninety-six".