19790164512 has 192 divisors, whose sum is σ = 59880965760. Its totient is φ = 6354173952.

The previous prime is 19790164501. The next prime is 19790164529. The reversal of 19790164512 is 21546109791.

19790164512 is a `hidden beast` number, since 1 + 9 + 79 + 0 + 1 + 64 + 512 = 666.

It is a super-2 number, since 2×19790164512² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708448 + ... + 2715744.

It is an arithmetic number, because the mean of its divisors is an integer number (311880030).

Almost surely, 2^19790164512 is an apocalyptic number.

19790164512 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 19790164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940482880).

19790164512 is an abundant number, since it is smaller than the sum of its proper divisors (40090801248).

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

19790164512 is a wasteful number, since it uses less digits than its factorization.

19790164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 19790164512 in words is "nineteen billion, seven hundred ninety million, one hundred sixty-four thousand, five hundred twelve".