25442249904 has 160 divisors (see below), whose sum is σ = 74381400000. Its totient is φ = 8324259840.

The previous prime is 25442249893. The next prime is 25442249923. The reversal of 25442249904 is 40994224452.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25442249904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20369472 + ... + 20370720.

It is an arithmetic number, because the mean of its divisors is an integer number (464883750).

Almost surely, 2^25442249904 is an apocalyptic number.

25442249904 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 25442249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37190700000).

25442249904 is an abundant number, since it is smaller than the sum of its proper divisors (48939150096).

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

25442249904 is a wasteful number, since it uses less digits than its factorization.

25442249904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25442249904 in words is "twenty-five billion, four hundred forty-two million, two hundred forty-nine thousand, nine hundred four".