18579353904100 has 36 divisors (see below), whose sum is σ = 43982397790128. Its totient is φ = 6756128692000.

The previous prime is 18579353903983. The next prime is 18579353904101. The reversal of 18579353904100 is 140935397581.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (18579353904101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8445159766 + ... + 8445161965.

It is an arithmetic number, because the mean of its divisors is an integer number (1221733271948).

Almost surely, 2^{18579353904100} is an apocalyptic number.

18579353904100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18579353904100 is an abundant number, since it is smaller than the sum of its proper divisors (25403043886028).

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

18579353904100 is a wasteful number, since it uses less digits than its factorization.

18579353904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16890321756 (or 16890321749 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 18579353904100 in words is "eighteen trillion, five hundred seventy-nine billion, three hundred fifty-three million, nine hundred four thousand, one hundred".