18870436897920 has 192 divisors, whose sum is σ = 65168788127040. Its totient is φ = 5031590553600.

The previous prime is 18870436897867. The next prime is 18870436897957. The reversal of 18870436897920 is 2979863407881.

18870436897920 is a `hidden beast` number, since 1 + 8 + 87 + 0 + 436 + 8 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56575477 + ... + 56908043.

It is an arithmetic number, because the mean of its divisors is an integer number (339420771495).

Almost surely, 2^{18870436897920} is an apocalyptic number.

18870436897920 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 18870436897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32584394063520).

18870436897920 is an abundant number, since it is smaller than the sum of its proper divisors (46298351229120).

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

18870436897920 is a wasteful number, since it uses less digits than its factorization.

18870436897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342443 (or 342428 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 18870436897920 in words is "eighteen trillion, eight hundred seventy billion, four hundred thirty-six million, eight hundred ninety-seven thousand, nine hundred twenty".