20958774720 has 224 divisors, whose sum is σ = 72109535232. Its totient is φ = 5126934528.

The previous prime is 20958774673. The next prime is 20958774761. The reversal of 20958774720 is 2747785902.

It is a super-2 number, since 2×20958774720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029089 + ... + 2039391.

It is an arithmetic number, because the mean of its divisors is an integer number (321917568).

Almost surely, 2^20958774720 is an apocalyptic number.

20958774720 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 20958774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36054767616).

20958774720 is an abundant number, since it is smaller than the sum of its proper divisors (51150760512).

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

20958774720 is a wasteful number, since it uses less digits than its factorization.

20958774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 20958774720 in words is "twenty billion, nine hundred fifty-eight million, seven hundred seventy-four thousand, seven hundred twenty".