20955732480 has 320 divisors, whose sum is σ = 75123227520. Its totient is φ = 5536677888.

The previous prime is 20955732451. The next prime is 20955732481. The reversal of 20955732480 is 8423755902.

20955732480 is a `hidden beast` number, since 2 + 0 + 95 + 57 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (20955732481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7809219 + ... + 7811901.

It is an arithmetic number, because the mean of its divisors is an integer number (234760086).

Almost surely, 2^20955732480 is an apocalyptic number.

20955732480 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 20955732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561613760).

20955732480 is an abundant number, since it is smaller than the sum of its proper divisors (54167495040).

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

20955732480 is a wasteful number, since it uses less digits than its factorization.

20955732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20955732480 in words is "twenty billion, nine hundred fifty-five million, seven hundred thirty-two thousand, four hundred eighty".