17972579520 has 504 divisors, whose sum is σ = 75133285344. Its totient is φ = 3849486336.

The previous prime is 17972579501. The next prime is 17972579593. The reversal of 17972579520 is 2597527971.

It is a happy number.

17972579520 is a `hidden beast` number, since 1 + 7 + 97 + 25 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×17972579520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78482766 + ... + 78482994.

Almost surely, 2^17972579520 is an apocalyptic number.

17972579520 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 17972579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37566642672).

17972579520 is an abundant number, since it is smaller than the sum of its proper divisors (57160705824).

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

17972579520 is a wasteful number, since it uses less digits than its factorization.

17972579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 17972579520 in words is "seventeen billion, nine hundred seventy-two million, five hundred seventy-nine thousand, five hundred twenty".