16416360253008 has 160 divisors (see below), whose sum is σ = 47313941356800. Its totient is φ = 5449726623744.

The previous prime is 16416360252997. The next prime is 16416360253031. The reversal of 16416360253008 is 80035206361461.

16416360253008 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 3 + 602 + 5 + 30 + 0 + 8 = 666.

16416360253008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695331508 + ... + 695355116.

It is an arithmetic number, because the mean of its divisors is an integer number (295712133480).

Almost surely, 2^{16416360253008} is an apocalyptic number.

16416360253008 is a gapful number since it is divisible by the number (18) 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 16416360253008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656970678400).

16416360253008 is an abundant number, since it is smaller than the sum of its proper divisors (30897581103792).

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

16416360253008 is a wasteful number, since it uses less digits than its factorization.

16416360253008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30146 (or 30134 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16416360253008 in words is "sixteen trillion, four hundred sixteen billion, three hundred sixty million, two hundred fifty-three thousand, eight".