18968005056 has 672 divisors, whose sum is σ = 71684863488. Its totient is φ = 4342947840.

The previous prime is 18968005037. The next prime is 18968005081. The reversal of 18968005056 is 65050086981.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18968004996 and 18968005014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30942606 + ... + 30943218.

It is an arithmetic number, because the mean of its divisors is an integer number (106673904).

Almost surely, 2^18968005056 is an apocalyptic number.

18968005056 is a gapful number since it is divisible by the number (16) 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 18968005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35842431744).

18968005056 is an abundant number, since it is smaller than the sum of its proper divisors (52716858432).

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

18968005056 is a wasteful number, since it uses less digits than its factorization.

18968005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 18968005056 in words is "eighteen billion, nine hundred sixty-eight million, five thousand, fifty-six".