20959031520 has 288 divisors, whose sum is σ = 85295089152. Its totient is φ = 4582296576.

The previous prime is 20959031503. The next prime is 20959031549. The reversal of 20959031520 is 2513095902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 186639 + ... + 277041.

It is an arithmetic number, because the mean of its divisors is an integer number (296163504).

Almost surely, 2^20959031520 is an apocalyptic number.

20959031520 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 20959031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42647544576).

20959031520 is an abundant number, since it is smaller than the sum of its proper divisors (64336057632).

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

20959031520 is a wasteful number, since it uses less digits than its factorization.

20959031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90454 (or 90443 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 20959031520 in words is "twenty billion, nine hundred fifty-nine million, thirty-one thousand, five hundred twenty".