25975370846880 has 1152 divisors, whose sum is σ = 111506978419200. Its totient is φ = 5471463997440.

The previous prime is 25975370846863. The next prime is 25975370846903. The reversal of 25975370846880 is 8864807357952.

25975370846880 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 537 + 0 + 8 + 4 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25975370846799 and 25975370846808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4321303075 + ... + 4321309085.

It is an arithmetic number, because the mean of its divisors is an integer number (96794252100).

Almost surely, 2^{25975370846880} is an apocalyptic number.

25975370846880 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 25975370846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55753489209600).

25975370846880 is an abundant number, since it is smaller than the sum of its proper divisors (85531607572320).

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

25975370846880 is a wasteful number, since it uses less digits than its factorization.

25975370846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 25975370846880 in words is "twenty-five trillion, nine hundred seventy-five billion, three hundred seventy million, eight hundred forty-six thousand, eight hundred eighty".