18792477520 has 80 divisors (see below), whose sum is σ = 45920810880. Its totient is φ = 7138340352.

The previous prime is 18792477503. The next prime is 18792477547. The reversal of 18792477520 is 2577429781.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18792477520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219022 + ... + 292498.

It is an arithmetic number, because the mean of its divisors is an integer number (574010136).

Almost surely, 2^18792477520 is an apocalyptic number.

18792477520 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 18792477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22960405440).

18792477520 is an abundant number, since it is smaller than the sum of its proper divisors (27128333360).

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

18792477520 is a wasteful number, since it uses less digits than its factorization.

18792477520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73652 (or 73646 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 18792477520 in words is "eighteen billion, seven hundred ninety-two million, four hundred seventy-seven thousand, five hundred twenty".