25320667680 has 1728 divisors, whose sum is σ = 123422382720. Its totient is φ = 4644864000.

The previous prime is 25320667613. The next prime is 25320667711. The reversal of 25320667680 is 8676602352.

It is a happy number.

It is a super-2 number, since 2×25320667680² (a number of 22 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 250699630 + ... + 250699730.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 2^25320667680 is an apocalyptic number.

25320667680 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 25320667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711191360).

25320667680 is an abundant number, since it is smaller than the sum of its proper divisors (98101715040).

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

25320667680 is a wasteful number, since it uses less digits than its factorization.

25320667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25320667680 in words is "twenty-five billion, three hundred twenty million, six hundred sixty-seven thousand, six hundred eighty".