20286118944 has 576 divisors, whose sum is σ = 74392141824. Its totient is φ = 5101221888.

The previous prime is 20286118913. The next prime is 20286118967. The reversal of 20286118944 is 44981168202.

20286118944 is a `hidden beast` number, since 2 + 0 + 28 + 611 + 8 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20286118944.

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, 52966177 + ... + 52966559.

It is an arithmetic number, because the mean of its divisors is an integer number (129153024).

Almost surely, 2^20286118944 is an apocalyptic number.

20286118944 is a gapful number since it is divisible by the number (24) 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 20286118944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37196070912).

20286118944 is an abundant number, since it is smaller than the sum of its proper divisors (54106022880).

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

20286118944 is a wasteful number, since it uses less digits than its factorization.

20286118944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20286118944 in words is "twenty billion, two hundred eighty-six million, one hundred eighteen thousand, nine hundred forty-four".