25768644473088 has 3456 divisors, whose sum is σ = 101129987911680. Its totient is φ = 6432526172160.

The previous prime is 25768644473041. The next prime is 25768644473171. The reversal of 25768644473088 is 88037444686752.

25768644473088 is a `hidden beast` number, since 2 + 5 + 76 + 8 + 6 + 4 + 4 + 473 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 188092295356 + ... + 188092295492.

It is an arithmetic number, because the mean of its divisors is an integer number (29262149280).

Almost surely, 2^{25768644473088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25768644473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50564993955840).

25768644473088 is an abundant number, since it is smaller than the sum of its proper divisors (75361343438592).

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

25768644473088 is a wasteful number, since it uses less digits than its factorization.

25768644473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 25768644473088 in words is "twenty-five trillion, seven hundred sixty-eight billion, six hundred forty-four million, four hundred seventy-three thousand, eighty-eight".