16416933120 has 576 divisors, whose sum is σ = 67501056000. Its totient is φ = 3700629504.

The previous prime is 16416933107. The next prime is 16416933131. The reversal of 16416933120 is 2133961461.

16416933120 is a `hidden beast` number, since 1 + 641 + 6 + 9 + 3 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19111251 + ... + 19112109.

Almost surely, 2^16416933120 is an apocalyptic number.

16416933120 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 16416933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33750528000).

16416933120 is an abundant number, since it is smaller than the sum of its proper divisors (51084122880).

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

16416933120 is an equidigital number, since it uses as much as digits as its factorization.

16416933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 16416933120 in words is "sixteen billion, four hundred sixteen million, nine hundred thirty-three thousand, one hundred twenty".