20825393664 has 160 divisors (see below), whose sum is σ = 56481384960. Its totient is φ = 6817738752.

The previous prime is 20825393663. The next prime is 20825393681. The reversal of 20825393664 is 46639352802.

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

It is not an unprimeable number, because it can be changed into a prime (20825393663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21990439 + ... + 21991385.

It is an arithmetic number, because the mean of its divisors is an integer number (353008656).

Almost surely, 2^20825393664 is an apocalyptic number.

20825393664 is a gapful number since it is divisible by the number (24) 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 20825393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240692480).

20825393664 is an abundant number, since it is smaller than the sum of its proper divisors (35655991296).

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

20825393664 is a wasteful number, since it uses less digits than its factorization.

20825393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 20825393664 in words is "twenty billion, eight hundred twenty-five million, three hundred ninety-three thousand, six hundred sixty-four".