18200915066880 has 1920 divisors, whose sum is σ = 82243429416960. Its totient is φ = 3715041853440.

The previous prime is 18200915066863. The next prime is 18200915066891. The reversal of 18200915066880 is 8866051900281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6239599182 + ... + 6239602098.

It is an arithmetic number, because the mean of its divisors is an integer number (42835119488).

Almost surely, 2^{18200915066880} is an apocalyptic number.

18200915066880 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 18200915066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41121714708480).

18200915066880 is an abundant number, since it is smaller than the sum of its proper divisors (64042514350080).

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

18200915066880 is a wasteful number, since it uses less digits than its factorization.

18200915066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 18200915066880 in words is "eighteen trillion, two hundred billion, nine hundred fifteen million, sixty-six thousand, eight hundred eighty".