18754536960 has 160 divisors (see below), whose sum is σ = 66617923680. Its totient is φ = 5001191424.

The previous prime is 18754536937. The next prime is 18754536961. The reversal of 18754536960 is 6963545781.

18754536960 is a `hidden beast` number, since 1 + 8 + 7 + 545 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 18754536897 and 18754536906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18754536961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66547 + ... + 204786.

It is an arithmetic number, because the mean of its divisors is an integer number (416362023).

Almost surely, 2^18754536960 is an apocalyptic number.

18754536960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18754536960 is an abundant number, since it is smaller than the sum of its proper divisors (47863386720).

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

18754536960 is an equidigital number, since it uses as much as digits as its factorization.

18754536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271365 (or 271343 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 18754536960 in words is "eighteen billion, seven hundred fifty-four million, five hundred thirty-six thousand, nine hundred sixty".