25345712784 has 160 divisors (see below), whose sum is σ = 77515038720. Its totient is φ = 6982488576.

The previous prime is 25345712779. The next prime is 25345712803. The reversal of 25345712784 is 48721754352.

It is a happy number.

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

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, 10356649 + ... + 10359095.

It is an arithmetic number, because the mean of its divisors is an integer number (484468992).

Almost surely, 2^25345712784 is an apocalyptic number.

25345712784 is a gapful number since it is divisible by the number (24) 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 25345712784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38757519360).

25345712784 is an abundant number, since it is smaller than the sum of its proper divisors (52169325936).

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

25345712784 is a wasteful number, since it uses less digits than its factorization.

25345712784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3551 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The spelling of 25345712784 in words is "twenty-five billion, three hundred forty-five million, seven hundred twelve thousand, seven hundred eighty-four".