25775087238264 has 1152 divisors, whose sum is σ = 87708298487040. Its totient is φ = 6252110032896.

The previous prime is 25775087238239. The next prime is 25775087238347. The reversal of 25775087238264 is 46283278057752.

It is a junction number, because it is equal to n+sod(n) for n = 25775087238195 and 25775087238204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74279790139 + ... + 74279790485.

It is an arithmetic number, because the mean of its divisors is an integer number (76135675770).

Almost surely, 2^{25775087238264} is an apocalyptic number.

25775087238264 is a gapful number since it is divisible by the number (24) 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 25775087238264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43854149243520).

25775087238264 is an abundant number, since it is smaller than the sum of its proper divisors (61933211248776).

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

25775087238264 is a wasteful number, since it uses less digits than its factorization.

25775087238264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 66.

The spelling of 25775087238264 in words is "twenty-five trillion, seven hundred seventy-five billion, eighty-seven million, two hundred thirty-eight thousand, two hundred sixty-four".