18675205564000 has 384 divisors, whose sum is σ = 48703440240000. Its totient is φ = 7018063257600.

The previous prime is 18675205563991. The next prime is 18675205564021. The reversal of 18675205564000 is 46550257681.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4681674006 + ... + 4681677994.

It is an arithmetic number, because the mean of its divisors is an integer number (126831875625).

Almost surely, 2^{18675205564000} is an apocalyptic number.

18675205564000 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 18675205564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351720120000).

18675205564000 is an abundant number, since it is smaller than the sum of its proper divisors (30028234676000).

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

18675205564000 is a wasteful number, since it uses less digits than its factorization.

18675205564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 18675205564000 in words is "eighteen trillion, six hundred seventy-five billion, two hundred five million, five hundred sixty-four thousand".