18920079360 has 1024 divisors, whose sum is σ = 84555878400. Its totient is φ = 3906994176.

The previous prime is 18920079319. The next prime is 18920079377. The reversal of 18920079360 is 6397002981.

18920079360 is a `hidden beast` number, since 1 + 89 + 200 + 7 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402554857 + ... + 402554903.

It is an arithmetic number, because the mean of its divisors is an integer number (82574100).

Almost surely, 2^18920079360 is an apocalyptic number.

18920079360 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 18920079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42277939200).

18920079360 is an abundant number, since it is smaller than the sum of its proper divisors (65635799040).

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

18920079360 is an equidigital number, since it uses as much as digits as its factorization.

18920079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 18920079360 in words is "eighteen billion, nine hundred twenty million, seventy-nine thousand, three hundred sixty".