20952760320 has 240 divisors, whose sum is σ = 74504293920. Its totient is φ = 5586812928.

The previous prime is 20952760319. The next prime is 20952760327. The reversal of 20952760320 is 2306725902.

20952760320 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 27 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20952760327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2207104 + ... + 2216576.

It is an arithmetic number, because the mean of its divisors is an integer number (310434558).

Almost surely, 2^20952760320 is an apocalyptic number.

20952760320 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 20952760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37252146960).

20952760320 is an abundant number, since it is smaller than the sum of its proper divisors (53551533600).

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

20952760320 is an frugal number, since it uses more digits than its factorization.

20952760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20952760320 in words is "twenty billion, nine hundred fifty-two million, seven hundred sixty thousand, three hundred twenty".