20953568160 has 768 divisors, whose sum is σ = 87091200000. Its totient is φ = 4702344192.

The previous prime is 20953568131. The next prime is 20953568173. The reversal of 20953568160 is 6186535902.

20953568160 is a `hidden beast` number, since 20 + 9 + 5 + 3 + 568 + 1 + 60 = 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 127 ways as a sum of consecutive naturals, for example, 117058951 + ... + 117059129.

It is an arithmetic number, because the mean of its divisors is an integer number (113400000).

Almost surely, 2^20953568160 is an apocalyptic number.

20953568160 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 20953568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600000).

20953568160 is an abundant number, since it is smaller than the sum of its proper divisors (66137631840).

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

20953568160 is a wasteful number, since it uses less digits than its factorization.

20953568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 20953568160 in words is "twenty billion, nine hundred fifty-three million, five hundred sixty-eight thousand, one hundred sixty".