19924071552 has 896 divisors, whose sum is σ = 77059123200. Its totient is φ = 4979128320.

The previous prime is 19924071539. The next prime is 19924071679. The reversal of 19924071552 is 25517042991.

19924071552 is a `hidden beast` number, since 1 + 9 + 9 + 24 + 0 + 71 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 19924071498 and 19924071507.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 337696099 + ... + 337696157.

Almost surely, 2^19924071552 is an apocalyptic number.

19924071552 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 19924071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529561600).

19924071552 is an abundant number, since it is smaller than the sum of its proper divisors (57135051648).

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

19924071552 is an equidigital number, since it uses as much as digits as its factorization.

19924071552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 19924071552 in words is "nineteen billion, nine hundred twenty-four million, seventy-one thousand, five hundred fifty-two".