25900607612880 has 640 divisors, whose sum is σ = 119782773411840. Its totient is φ = 4967948298240.

The previous prime is 25900607612839. The next prime is 25900607612899. The reversal of 25900607612880 is 8821670600952.

25900607612880 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 0 + 607 + 6 + 1 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3827362 + ... + 8151681.

It is an arithmetic number, because the mean of its divisors is an integer number (187160583456).

Almost surely, 2^{25900607612880} is an apocalyptic number.

25900607612880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25900607612880 is an abundant number, since it is smaller than the sum of its proper divisors (93882165798960).

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

25900607612880 is a wasteful number, since it uses less digits than its factorization.

25900607612880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979096 (or 11979084 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25900607612880 in words is "twenty-five trillion, nine hundred billion, six hundred seven million, six hundred twelve thousand, eight hundred eighty".