20958382560 has 192 divisors, whose sum is σ = 67409459712. Its totient is φ = 5472208896.

The previous prime is 20958382553. The next prime is 20958382579. The reversal of 20958382560 is 6528385902.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5561797 + ... + 5565563.

It is an arithmetic number, because the mean of its divisors is an integer number (351090936).

Almost surely, 2^20958382560 is an apocalyptic number.

20958382560 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 20958382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33704729856).

20958382560 is an abundant number, since it is smaller than the sum of its proper divisors (46451077152).

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

20958382560 is a wasteful number, since it uses less digits than its factorization.

20958382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 20958382560 in words is "twenty billion, nine hundred fifty-eight million, three hundred eighty-two thousand, five hundred sixty".