18980505600 has 576 divisors, whose sum is σ = 72795340800. Its totient is φ = 4273274880.

The previous prime is 18980505587. The next prime is 18980505617. The reversal of 18980505600 is 650508981.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136550331 + ... + 136550469.

It is an arithmetic number, because the mean of its divisors is an integer number (126380800).

Almost surely, 2^18980505600 is an apocalyptic number.

18980505600 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 18980505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36397670400).

18980505600 is an abundant number, since it is smaller than the sum of its proper divisors (53814835200).

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

18980505600 is a wasteful number, since it uses less digits than its factorization.

18980505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 18980505600 in words is "eighteen billion, nine hundred eighty million, five hundred five thousand, six hundred".