25800714228960 has 1344 divisors, whose sum is σ = 108333341706240. Its totient is φ = 5734209024000.

The previous prime is 25800714228901. The next prime is 25800714228973. The reversal of 25800714228960 is 6982241700852.

25800714228960 is a `hidden beast` number, since 2 + 5 + 80 + 0 + 7 + 1 + 422 + 89 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25800714228897 and 25800714228906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 755693490 + ... + 755727630.

It is an arithmetic number, because the mean of its divisors is an integer number (80605164960).

Almost surely, 2^{25800714228960} is an apocalyptic number.

25800714228960 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 25800714228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54166670853120).

25800714228960 is an abundant number, since it is smaller than the sum of its proper divisors (82532627477280).

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

25800714228960 is a wasteful number, since it uses less digits than its factorization.

25800714228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34235 (or 34212 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 25800714228960 in words is "twenty-five trillion, eight hundred billion, seven hundred fourteen million, two hundred twenty-eight thousand, nine hundred sixty".