25258487316480 has 576 divisors, whose sum is σ = 97972695676800. Its totient is φ = 6123222466560.

The previous prime is 25258487316463. The next prime is 25258487316493. The reversal of 25258487316480 is 8461378485252.

25258487316480 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 84 + 8 + 73 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 194577036 + ... + 194706804.

It is an arithmetic number, because the mean of its divisors is an integer number (170091485550).

Almost surely, 2^{25258487316480} is an apocalyptic number.

25258487316480 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 25258487316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48986347838400).

25258487316480 is an abundant number, since it is smaller than the sum of its proper divisors (72714208360320).

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

25258487316480 is an equidigital number, since it uses as much as digits as its factorization.

25258487316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129828 (or 129790 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 25258487316480 in words is "twenty-five trillion, two hundred fifty-eight billion, four hundred eighty-seven million, three hundred sixteen thousand, four hundred eighty".