25086846720 has 864 divisors, whose sum is σ = 94799738880. Its totient is φ = 5635768320.

The previous prime is 25086846679. The next prime is 25086846727. The reversal of 25086846720 is 2764868052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25086846720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25086846727) 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 95 ways as a sum of consecutive naturals, for example, 583415019 + ... + 583415061.

It is an arithmetic number, because the mean of its divisors is an integer number (109721920).

Almost surely, 2^25086846720 is an apocalyptic number.

25086846720 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 25086846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399869440).

25086846720 is an abundant number, since it is smaller than the sum of its proper divisors (69712892160).

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

25086846720 is a wasteful number, since it uses less digits than its factorization.

25086846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 25086846720 in words is "twenty-five billion, eighty-six million, eight hundred forty-six thousand, seven hundred twenty".