18995225760 has 480 divisors, whose sum is σ = 78698632320. Its totient is φ = 4223674368.

The previous prime is 18995225729. The next prime is 18995225779. The reversal of 18995225760 is 6752259981.

18995225760 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 522 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18995225697 and 18995225706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3353811 + ... + 3359469.

It is an arithmetic number, because the mean of its divisors is an integer number (163955484).

Almost surely, 2^18995225760 is an apocalyptic number.

18995225760 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 18995225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39349316160).

18995225760 is an abundant number, since it is smaller than the sum of its proper divisors (59703406560).

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

18995225760 is a wasteful number, since it uses less digits than its factorization.

18995225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 18995225760 in words is "eighteen billion, nine hundred ninety-five million, two hundred twenty-five thousand, seven hundred sixty".