19752991560 has 512 divisors, whose sum is σ = 75302784000. Its totient is φ = 4575707136.

The previous prime is 19752991549. The next prime is 19752991561. The reversal of 19752991560 is 6519925791.

19752991560 is a `hidden beast` number, since 1 + 9 + 75 + 2 + 9 + 9 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19752991497 and 19752991506.

It is not an unprimeable number, because it can be changed into a prime (19752991561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12245314 + ... + 12246926.

It is an arithmetic number, because the mean of its divisors is an integer number (147075750).

Almost surely, 2^19752991560 is an apocalyptic number.

19752991560 is a gapful number since it is divisible by the number (10) 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 19752991560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37651392000).

19752991560 is an abundant number, since it is smaller than the sum of its proper divisors (55549792440).

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

19752991560 is a wasteful number, since it uses less digits than its factorization.

19752991560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 19752991560 in words is "nineteen billion, seven hundred fifty-two million, nine hundred ninety-one thousand, five hundred sixty".