25080099760 has 80 divisors (see below), whose sum is σ = 60993596160. Its totient is φ = 9572668160.

The previous prime is 25080099727. The next prime is 25080099773. The reversal of 25080099760 is 6799008052.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25080099760² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 25080099760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754695 + ... + 787225.

It is an arithmetic number, because the mean of its divisors is an integer number (762419952).

Almost surely, 2^25080099760 is an apocalyptic number.

25080099760 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 25080099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30496798080).

25080099760 is an abundant number, since it is smaller than the sum of its proper divisors (35913496400).

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

25080099760 is a wasteful number, since it uses less digits than its factorization.

25080099760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32986 (or 32980 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 25080099760 in words is "twenty-five billion, eighty million, ninety-nine thousand, seven hundred sixty".