20875760640 has 1232 divisors, whose sum is σ = 92788250112. Its totient is φ = 4395368448.

The previous prime is 20875760627. The next prime is 20875760663. The reversal of 20875760640 is 4606757802.

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 (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 444165097 + ... + 444165143.

Almost surely, 2^20875760640 is an apocalyptic number.

20875760640 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 20875760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46394125056).

20875760640 is an abundant number, since it is smaller than the sum of its proper divisors (71912489472).

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

20875760640 is an equidigital number, since it uses as much as digits as its factorization.

20875760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20875760640 in words is "twenty billion, eight hundred seventy-five million, seven hundred sixty thousand, six hundred forty".