18855564000 has 768 divisors, whose sum is σ = 78618968064. Its totient is φ = 3843072000.

The previous prime is 18855563999. The next prime is 18855564001. The reversal of 18855564000 is 46555881.

It is an interprime number because it is at equal distance from previous prime (18855563999) and next prime (18855564001).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18855564001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33851722 + ... + 33852278.

It is an arithmetic number, because the mean of its divisors is an integer number (102368448).

Almost surely, 2^18855564000 is an apocalyptic number.

18855564000 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 18855564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309484032).

18855564000 is an abundant number, since it is smaller than the sum of its proper divisors (59763404064).

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

18855564000 is a wasteful number, since it uses less digits than its factorization.

18855564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 18855564000 in words is "eighteen billion, eight hundred fifty-five million, five hundred sixty-four thousand".