25892490624 has 384 divisors, whose sum is σ = 94002612480. Its totient is φ = 6207344640.

The previous prime is 25892490581. The next prime is 25892490707. The reversal of 25892490624 is 42609429852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685877 + ... + 2695499.

It is an arithmetic number, because the mean of its divisors is an integer number (244798470).

Almost surely, 2^25892490624 is an apocalyptic number.

25892490624 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 25892490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001306240).

25892490624 is an abundant number, since it is smaller than the sum of its proper divisors (68110121856).

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

25892490624 is a wasteful number, since it uses less digits than its factorization.

25892490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 25892490624 in words is "twenty-five billion, eight hundred ninety-two million, four hundred ninety thousand, six hundred twenty-four".