19923152256 has 288 divisors, whose sum is σ = 68601130200. Its totient is φ = 5692329216.

The previous prime is 19923152243. The next prime is 19923152281. The reversal of 19923152256 is 65225132991.

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.

19923152256 is a `hidden beast` number, since 1 + 9 + 92 + 31 + 522 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (291600) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2846164605 + ... + 2846164611.

Almost surely, 2^19923152256 is an apocalyptic number.

19923152256 is a gapful number since it is divisible by the number (16) 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 19923152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34300565100).

19923152256 is an abundant number, since it is smaller than the sum of its proper divisors (48677977944).

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

19923152256 is an frugal number, since it uses more digits than its factorization.

19923152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 12 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 19923152256 in words is "nineteen billion, nine hundred twenty-three million, one hundred fifty-two thousand, two hundred fifty-six".