25096690080 has 1152 divisors, whose sum is σ = 113173272576. Its totient is φ = 5101056000.

The previous prime is 25096690043. The next prime is 25096690081. The reversal of 25096690080 is 8009669052.

25096690080 is a `hidden beast` number, since 2 + 509 + 6 + 69 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25096690081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248482030 + ... + 248482130.

It is an arithmetic number, because the mean of its divisors is an integer number (98240688).

Almost surely, 2^25096690080 is an apocalyptic number.

25096690080 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 25096690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56586636288).

25096690080 is an abundant number, since it is smaller than the sum of its proper divisors (88076582496).

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

25096690080 is a wasteful number, since it uses less digits than its factorization.

25096690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 25096690080 in words is "twenty-five billion, ninety-six million, six hundred ninety thousand, eighty".