25265796556 has 288 divisors, whose sum is σ = 62763402240. Its totient is φ = 8648640000.

The previous prime is 25265796503. The next prime is 25265796557. The reversal of 25265796556 is 65569756252.

It is a super-2 number, since 2×25265796556² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 25265796556.

It is not an unprimeable number, because it can be changed into a prime (25265796557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167323081 + ... + 167323231.

It is an arithmetic number, because the mean of its divisors is an integer number (217928480).

Almost surely, 2^25265796556 is an apocalyptic number.

25265796556 is a gapful number since it is divisible by the number (26) 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 25265796556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381701120).

25265796556 is an abundant number, since it is smaller than the sum of its proper divisors (37497605684).

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

25265796556 is a wasteful number, since it uses less digits than its factorization.

25265796556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its digits is 34020000, while the sum is 58.

The spelling of 25265796556 in words is "twenty-five billion, two hundred sixty-five million, seven hundred ninety-six thousand, five hundred fifty-six".