18925038720 has 1024 divisors, whose sum is σ = 81469440000. Its totient is φ = 4145541120.

The previous prime is 18925038683. The next prime is 18925038763. The reversal of 18925038720 is 2783052981.

It is a happy number.

18925038720 is a `hidden beast` number, since 18 + 9 + 250 + 387 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183738189 + ... + 183738291.

It is an arithmetic number, because the mean of its divisors is an integer number (79560000).

Almost surely, 2^18925038720 is an apocalyptic number.

18925038720 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 18925038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40734720000).

18925038720 is an abundant number, since it is smaller than the sum of its proper divisors (62544401280).

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

18925038720 is a wasteful number, since it uses less digits than its factorization.

18925038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18925038720 in words is "eighteen billion, nine hundred twenty-five million, thirty-eight thousand, seven hundred twenty".