25116480000 has 1200 divisors, whose sum is σ = 104696111520. Its totient is φ = 5971968000.

The previous prime is 25116479989. The next prime is 25116480007. The reversal of 25116480000 is 8461152.

25116480000 is a `hidden beast` number, since 2 + 5 + 11 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25116480007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1321919991 + ... + 1321920009.

Almost surely, 2^25116480000 is an apocalyptic number.

25116480000 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 25116480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348055760).

25116480000 is an abundant number, since it is smaller than the sum of its proper divisors (79579631520).

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

25116480000 is an frugal number, since it uses more digits than its factorization.

25116480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 25116480000 in words is "twenty-five billion, one hundred sixteen million, four hundred eighty thousand".