20357775360 has 680 divisors, whose sum is σ = 79932338640. Its totient is φ = 4926210048.

The previous prime is 20357775353. The next prime is 20357775371. The reversal of 20357775360 is 6357775302.

20357775360 is a `hidden beast` number, since 2 + 0 + 3 + 577 + 75 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345047011 + ... + 345047069.

Almost surely, 2^20357775360 is an apocalyptic number.

20357775360 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 20357775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39966169320).

20357775360 is an abundant number, since it is smaller than the sum of its proper divisors (59574563280).

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

20357775360 is an frugal number, since it uses more digits than its factorization.

20357775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 20357775360 in words is "twenty billion, three hundred fifty-seven million, seven hundred seventy-five thousand, three hundred sixty".