25583100088 has 128 divisors (see below), whose sum is σ = 63591897600. Its totient is φ = 9364916736.

The previous prime is 25583100079. The next prime is 25583100089. The reversal of 25583100088 is 88000138552.

It is a super-2 number, since 2×25583100088² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25583100088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25583100089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573270 + ... + 616282.

It is an arithmetic number, because the mean of its divisors is an integer number (496811700).

Almost surely, 2^25583100088 is an apocalyptic number.

25583100088 is a gapful number since it is divisible by the number (28) 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 25583100088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795948800).

25583100088 is an abundant number, since it is smaller than the sum of its proper divisors (38008797512).

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

25583100088 is a wasteful number, since it uses less digits than its factorization.

25583100088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43101 (or 43097 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 25583100088 in words is "twenty-five billion, five hundred eighty-three million, one hundred thousand, eighty-eight".