25442590464 has 162 divisors, whose sum is σ = 74966255000. Its totient is φ = 8298759168.

The previous prime is 25442590451. The next prime is 25442590469. The reversal of 25442590464 is 46409524452.

It is a happy number.

25442590464 is a `hidden beast` number, since 2 + 54 + 4 + 2 + 590 + 4 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25442590469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5087037 + ... + 5092035.

Almost surely, 2^25442590464 is an apocalyptic number.

25442590464 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 25442590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37483127500).

25442590464 is an abundant number, since it is smaller than the sum of its proper divisors (49523664536).

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

25442590464 is an equidigital number, since it uses as much as digits as its factorization.

25442590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 25442590464 in words is "twenty-five billion, four hundred forty-two million, five hundred ninety thousand, four hundred sixty-four".