20883975840 has 1152 divisors, whose sum is σ = 93201518592. Its totient is φ = 4140564480.

The previous prime is 20883975821. The next prime is 20883975859. The reversal of 20883975840 is 4857938802.

It is a happy number.

20883975840 is a `hidden beast` number, since 20 + 8 + 8 + 39 + 7 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20883975821) and next prime (20883975859).

It is a super-2 number, since 2×20883975840² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215298672 + ... + 215298768.

It is an arithmetic number, because the mean of its divisors is an integer number (80904096).

Almost surely, 2^20883975840 is an apocalyptic number.

20883975840 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 20883975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46600759296).

20883975840 is an abundant number, since it is smaller than the sum of its proper divisors (72317542752).

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

20883975840 is a wasteful number, since it uses less digits than its factorization.

20883975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20883975840 in words is "twenty billion, eight hundred eighty-three million, nine hundred seventy-five thousand, eight hundred forty".