20883965520 has 480 divisors, whose sum is σ = 78984408960. Its totient is φ = 4510679040.

The previous prime is 20883965497. The next prime is 20883965563. The reversal of 20883965520 is 2556938802.

It is a super-2 number, since 2×20883965520² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20883965520.

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 95 ways as a sum of consecutive naturals, for example, 16201036 + ... + 16202324.

It is an arithmetic number, because the mean of its divisors is an integer number (164550852).

Almost surely, 2^20883965520 is an apocalyptic number.

20883965520 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 20883965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39492204480).

20883965520 is an abundant number, since it is smaller than the sum of its proper divisors (58100443440).

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

20883965520 is a wasteful number, since it uses less digits than its factorization.

20883965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1346 counting only the distinct ones).

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

The spelling of 20883965520 in words is "twenty billion, eight hundred eighty-three million, nine hundred sixty-five thousand, five hundred twenty".