20883925440 has 1008 divisors, whose sum is σ = 89986104000. Its totient is φ = 4608866304.

The previous prime is 20883925427. The next prime is 20883925453. The reversal of 20883925440 is 4452938802.

20883925440 is a `hidden beast` number, since 20 + 8 + 83 + 9 + 2 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20883925427) and next prime (20883925453).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×20883925440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 720135346 + ... + 720135374.

Almost surely, 2^20883925440 is an apocalyptic number.

20883925440 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 20883925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44993052000).

20883925440 is an abundant number, since it is smaller than the sum of its proper divisors (69102178560).

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

20883925440 is an frugal number, since it uses more digits than its factorization.

20883925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20883925440 in words is "twenty billion, eight hundred eighty-three million, nine hundred twenty-five thousand, four hundred forty".