18512574960 has 160 divisors (see below), whose sum is σ = 62659918080. Its totient is φ = 4484044800.

The previous prime is 18512574959. The next prime is 18512574967. The reversal of 18512574960 is 6947521581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18512574967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166340 + ... + 4170780.

It is an arithmetic number, because the mean of its divisors is an integer number (391624488).

Almost surely, 2^18512574960 is an apocalyptic number.

18512574960 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 18512574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31329959040).

18512574960 is an abundant number, since it is smaller than the sum of its proper divisors (44147343120).

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

18512574960 is a wasteful number, since it uses less digits than its factorization.

18512574960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 18512574960 in words is "eighteen billion, five hundred twelve million, five hundred seventy-four thousand, nine hundred sixty".