16111872000 has 1152 divisors, whose sum is σ = 70689265920. Its totient is φ = 3583180800.

The previous prime is 16111871977. The next prime is 16111872011. The reversal of 16111872000 is 27811161.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 435455982 + ... + 435456018.

It is an arithmetic number, because the mean of its divisors is an integer number (61362210).

Almost surely, 2^16111872000 is an apocalyptic number.

16111872000 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 16111872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35344632960).

16111872000 is an abundant number, since it is smaller than the sum of its proper divisors (54577393920).

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

16111872000 is an frugal number, since it uses more digits than its factorization.

16111872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 16111872000 in words is "sixteen billion, one hundred eleven million, eight hundred seventy-two thousand".