18975013200 has 1440 divisors, whose sum is σ = 84624583680. Its totient is φ = 3870720000.

The previous prime is 18975013163. The next prime is 18975013217. The reversal of 18975013200 is 231057981.

It is a super-2 number, since 2×18975013200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 462805180 + ... + 462805220.

It is an arithmetic number, because the mean of its divisors is an integer number (58767072).

Almost surely, 2^18975013200 is an apocalyptic number.

18975013200 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 18975013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312291840).

18975013200 is an abundant number, since it is smaller than the sum of its proper divisors (65649570480).

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

18975013200 is a wasteful number, since it uses less digits than its factorization.

18975013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 18975013200 in words is "eighteen billion, nine hundred seventy-five million, thirteen thousand, two hundred".