16107192192 has 512 divisors, whose sum is σ = 56206080000. Its totient is φ = 4053417984.

The previous prime is 16107192187. The next prime is 16107192193. The reversal of 16107192192 is 29129170161.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16107192192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16107192193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39381684 + ... + 39382092.

It is an arithmetic number, because the mean of its divisors is an integer number (109777500).

Almost surely, 2^16107192192 is an apocalyptic number.

16107192192 is a gapful number since it is divisible by the number (12) 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 16107192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103040000).

16107192192 is an abundant number, since it is smaller than the sum of its proper divisors (40098887808).

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

16107192192 is a wasteful number, since it uses less digits than its factorization.

16107192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 39.

The spelling of 16107192192 in words is "sixteen billion, one hundred seven million, one hundred ninety-two thousand, one hundred ninety-two".