19953883872 has 192 divisors, whose sum is σ = 63265224960. Its totient is φ = 6081910272.

The previous prime is 19953883867. The next prime is 19953883877. The reversal of 19953883872 is 27838835991.

19953883872 is a `hidden beast` number, since 1 + 99 + 538 + 8 + 3 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19953883867) and next prime (19953883877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19953883877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193523 + ... + 1210125.

It is an arithmetic number, because the mean of its divisors is an integer number (329506380).

Almost surely, 2^19953883872 is an apocalyptic number.

19953883872 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 19953883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632612480).

19953883872 is an abundant number, since it is smaller than the sum of its proper divisors (43311341088).

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

19953883872 is a wasteful number, since it uses less digits than its factorization.

19953883872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16742 (or 16728 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 19953883872 in words is "nineteen billion, nine hundred fifty-three million, eight hundred eighty-three thousand, eight hundred seventy-two".