20958288960 has 224 divisors, whose sum is σ = 80051696640. Its totient is φ = 4538308608.

The previous prime is 20958288943. The next prime is 20958288971. The reversal of 20958288960 is 6988285902.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20958288960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 20958288960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45607 + ... + 209753.

Almost surely, 2^20958288960 is an apocalyptic number.

20958288960 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 20958288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40025848320).

20958288960 is an abundant number, since it is smaller than the sum of its proper divisors (59093407680).

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

20958288960 is a wasteful number, since it uses less digits than its factorization.

20958288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164193 (or 164183 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 20958288960 in words is "twenty billion, nine hundred fifty-eight million, two hundred eighty-eight thousand, nine hundred sixty".