19920456192 has 320 divisors, whose sum is σ = 66573239040. Its totient is φ = 5152702464.

The previous prime is 19920456187. The next prime is 19920456203. The reversal of 19920456192 is 29165402991.

It is a super-2 number, since 2×19920456192² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7406784 + ... + 7409472.

It is an arithmetic number, because the mean of its divisors is an integer number (208041372).

Almost surely, 2^19920456192 is an apocalyptic number.

19920456192 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 19920456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286619520).

19920456192 is an abundant number, since it is smaller than the sum of its proper divisors (46652782848).

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

19920456192 is a wasteful number, since it uses less digits than its factorization.

19920456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 19920456192 in words is "nineteen billion, nine hundred twenty million, four hundred fifty-six thousand, one hundred ninety-two".