18545375882880 has 3072 divisors, whose sum is σ = 87204418560000. Its totient is φ = 3638733373440.

The previous prime is 18545375882843. The next prime is 18545375882921. The reversal of 18545375882880 is 8828857354581.

18545375882880 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 5 + 37 + 588 + 2 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18545375882799 and 18545375882808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29960219211 + ... + 29960219829.

It is an arithmetic number, because the mean of its divisors is an integer number (28386855000).

Almost surely, 2^{18545375882880} is an apocalyptic number.

18545375882880 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 18545375882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43602209280000).

18545375882880 is an abundant number, since it is smaller than the sum of its proper divisors (68659042677120).

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

18545375882880 is a wasteful number, since it uses less digits than its factorization.

18545375882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 72.

The spelling of 18545375882880 in words is "eighteen trillion, five hundred forty-five billion, three hundred seventy-five million, eight hundred eighty-two thousand, eight hundred eighty".