25496959488 has 960 divisors, whose sum is σ = 97805740032. Its totient is φ = 5790597120.

The previous prime is 25496959483. The next prime is 25496959507. The reversal of 25496959488 is 88495969452.

It is a super-3 number, since 3×25496959488³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

Its product of digits (223948800) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25496959483) 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 95 ways as a sum of consecutive naturals, for example, 247543245 + ... + 247543347.

Almost surely, 2^25496959488 is an apocalyptic number.

25496959488 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 25496959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48902870016).

25496959488 is an abundant number, since it is smaller than the sum of its proper divisors (72308780544).

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

25496959488 is a wasteful number, since it uses less digits than its factorization.

25496959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 69.

The spelling of 25496959488 in words is "twenty-five billion, four hundred ninety-six million, nine hundred fifty-nine thousand, four hundred eighty-eight".