18780025600 has 216 divisors, whose sum is σ = 55922531840. Its totient is φ = 6099701760.

The previous prime is 18780025577. The next prime is 18780025601. The reversal of 18780025600 is 652008781.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18780025600.

It is not an unprimeable number, because it can be changed into a prime (18780025601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840169 + ... + 862231.

Almost surely, 2^18780025600 is an apocalyptic number.

18780025600 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 18780025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961265920).

18780025600 is an abundant number, since it is smaller than the sum of its proper divisors (37142506240).

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

18780025600 is a wasteful number, since it uses less digits than its factorization.

18780025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22115 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 18780025600 in words is "eighteen billion, seven hundred eighty million, twenty-five thousand, six hundred".