25867265760 has 960 divisors, whose sum is σ = 112698432000. Its totient is φ = 5455392768.

The previous prime is 25867265719. The next prime is 25867265791. The reversal of 25867265760 is 6756276852.

25867265760 is a `hidden beast` number, since 2 + 5 + 8 + 67 + 2 + 6 + 576 + 0 = 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 = 25867265697 and 25867265706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74118066 + ... + 74118414.

It is an arithmetic number, because the mean of its divisors is an integer number (117394200).

Almost surely, 2^25867265760 is an apocalyptic number.

25867265760 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 25867265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56349216000).

25867265760 is an abundant number, since it is smaller than the sum of its proper divisors (86831166240).

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

25867265760 is a wasteful number, since it uses less digits than its factorization.

25867265760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 25867265760 in words is "twenty-five billion, eight hundred sixty-seven million, two hundred sixty-five thousand, seven hundred sixty".