19725944832 has 576 divisors, whose sum is σ = 67612708800. Its totient is φ = 5473566720.

The previous prime is 19725944803. The next prime is 19725944869. The reversal of 19725944832 is 23844952791.

19725944832 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 594 + 48 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×19725944832² (a number of 21 digits) contains 22 as substring.

Its product of digits (4354560) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203360208 + ... + 203360304.

It is an arithmetic number, because the mean of its divisors is an integer number (117383175).

Almost surely, 2^19725944832 is an apocalyptic number.

19725944832 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 19725944832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33806354400).

19725944832 is an abundant number, since it is smaller than the sum of its proper divisors (47886763968).

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

19725944832 is a wasteful number, since it uses less digits than its factorization.

19725944832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 19725944832 in words is "nineteen billion, seven hundred twenty-five million, nine hundred forty-four thousand, eight hundred thirty-two".