18042264506880 has 960 divisors, whose sum is σ = 65187525731328. Its totient is φ = 4606855741440.

The previous prime is 18042264506873. The next prime is 18042264506969. The reversal of 18042264506880 is 8860546224081.

18042264506880 is a `hidden beast` number, since 1 + 80 + 422 + 6 + 4 + 5 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41668047144 + ... + 41668047576.

Almost surely, 2^{18042264506880} is an apocalyptic number.

18042264506880 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 18042264506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32593762865664).

18042264506880 is an abundant number, since it is smaller than the sum of its proper divisors (47145261224448).

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

18042264506880 is a wasteful number, since it uses less digits than its factorization.

18042264506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18042264506880 in words is "eighteen trillion, forty-two billion, two hundred sixty-four million, five hundred six thousand, eight hundred eighty".