20459331360 has 576 divisors, whose sum is σ = 81179830368. Its totient is φ = 4646633472.

The previous prime is 20459331359. The next prime is 20459331391. The reversal of 20459331360 is 6313395402.

It is a happy number.

20459331360 is a `hidden beast` number, since 2 + 0 + 4 + 593 + 3 + 1 + 3 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 194100624 + 20265230736 = 13932^2 + 142356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16866114 + ... + 16867326.

Almost surely, 2^20459331360 is an apocalyptic number.

20459331360 is a gapful number since it is divisible by the number (20) 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 20459331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40589915184).

20459331360 is an abundant number, since it is smaller than the sum of its proper divisors (60720499008).

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

20459331360 is a wasteful number, since it uses less digits than its factorization.

20459331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 20459331360 in words is "twenty billion, four hundred fifty-nine million, three hundred thirty-one thousand, three hundred sixty".