16936128000 has 960 divisors, whose sum is σ = 69618669120. Its totient is φ = 4105728000.

The previous prime is 16936127953. The next prime is 16936128017. The reversal of 16936128000 is 82163961.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16936128000 is a `hidden beast` number, since 16 + 9 + 361 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1539647995 + ... + 1539648005.

It is an arithmetic number, because the mean of its divisors is an integer number (72519447).

Almost surely, 2^16936128000 is an apocalyptic number.

16936128000 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 16936128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34809334560).

16936128000 is an abundant number, since it is smaller than the sum of its proper divisors (52682541120).

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

16936128000 is an frugal number, since it uses more digits than its factorization.

16936128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16936128000 in words is "sixteen billion, nine hundred thirty-six million, one hundred twenty-eight thousand".