25366322880 has 672 divisors, whose sum is σ = 99053660160. Its totient is φ = 6151127040.

The previous prime is 25366322857. The next prime is 25366322887. The reversal of 25366322880 is 8822366352.

25366322880 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 632 + 2 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×25366322880² (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 not an unprimeable number, because it can be changed into a prime (25366322887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40979211 + ... + 40979829.

It is an arithmetic number, because the mean of its divisors is an integer number (147401280).

Almost surely, 2^25366322880 is an apocalyptic number.

25366322880 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 25366322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49526830080).

25366322880 is an abundant number, since it is smaller than the sum of its proper divisors (73687337280).

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

25366322880 is a wasteful number, since it uses less digits than its factorization.

25366322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25366322880 in words is "twenty-five billion, three hundred sixty-six million, three hundred twenty-two thousand, eight hundred eighty".