20725516320 has 192 divisors, whose sum is σ = 65874622464. Its totient is φ = 5477207040.

The previous prime is 20725516319. The next prime is 20725516321. The reversal of 20725516320 is 2361552702.

It is an interprime number because it is at equal distance from previous prime (20725516319) and next prime (20725516321).

It is not an unprimeable number, because it can be changed into a prime (20725516321) by changing a digit.

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, 36812359 + ... + 36812921.

It is an arithmetic number, because the mean of its divisors is an integer number (343096992).

Almost surely, 2^20725516320 is an apocalyptic number.

20725516320 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 20725516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32937311232).

20725516320 is an abundant number, since it is smaller than the sum of its proper divisors (45149106144).

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

20725516320 is a wasteful number, since it uses less digits than its factorization.

20725516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 20725516320 in words is "twenty billion, seven hundred twenty-five million, five hundred sixteen thousand, three hundred twenty".