18475625568000 has 1152 divisors, whose sum is σ = 65983726448640. Its totient is φ = 4565768601600.

The previous prime is 18475625567989. The next prime is 18475625568007. The reversal of 18475625568000 is 86552657481.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18475625568007) 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, 50342303817 + ... + 50342304183.

It is an arithmetic number, because the mean of its divisors is an integer number (57277540320).

Almost surely, 2^{18475625568000} is an apocalyptic number.

18475625568000 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 18475625568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991863224320).

18475625568000 is an abundant number, since it is smaller than the sum of its proper divisors (47508100880640).

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

18475625568000 is a wasteful number, since it uses less digits than its factorization.

18475625568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 18475625568000 in words is "eighteen trillion, four hundred seventy-five billion, six hundred twenty-five million, five hundred sixty-eight thousand".