20964008520 has 768 divisors, whose sum is σ = 88102909440. Its totient is φ = 4365508608.

The previous prime is 20964008479. The next prime is 20964008557. The reversal of 20964008520 is 2580046902.

It is a happy number.

20964008520 is a `hidden beast` number, since 2 + 0 + 9 + 640 + 0 + 8 + 5 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 121179154 + ... + 121179326.

It is an arithmetic number, because the mean of its divisors is an integer number (114717330).

Almost surely, 2^20964008520 is an apocalyptic number.

20964008520 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 20964008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44051454720).

20964008520 is an abundant number, since it is smaller than the sum of its proper divisors (67138900920).

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

20964008520 is a wasteful number, since it uses less digits than its factorization.

20964008520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20964008520 in words is "twenty billion, nine hundred sixty-four million, eight thousand, five hundred twenty".