20765871840 has 96 divisors (see below), whose sum is σ = 74757150720. Its totient is φ = 4746484224.

The previous prime is 20765871829. The next prime is 20765871851. The reversal of 20765871840 is 4817856702.

It is an interprime number because it is at equal distance from previous prime (20765871829) and next prime (20765871851).

It is a tau number, because it is divible by the number of its divisors (96).

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 20765871840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3086800 + ... + 3093519.

It is an arithmetic number, because the mean of its divisors is an integer number (778720320).

Almost surely, 2^20765871840 is an apocalyptic number.

20765871840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20765871840 is an abundant number, since it is smaller than the sum of its proper divisors (53991278880).

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

20765871840 is a wasteful number, since it uses less digits than its factorization.

20765871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180344 (or 6180336 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 20765871840 in words is "twenty billion, seven hundred sixty-five million, eight hundred seventy-one thousand, eight hundred forty".