25285242840 has 512 divisors, whose sum is σ = 92604072960. Its totient is φ = 5441126400.

The previous prime is 25285242833. The next prime is 25285242847. The reversal of 25285242840 is 4824258252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25285242833) and next prime (25285242847).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25285242792 and 25285242801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25285242847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58395264 + ... + 58395696.

It is an arithmetic number, because the mean of its divisors is an integer number (180867330).

Almost surely, 2^25285242840 is an apocalyptic number.

25285242840 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 25285242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46302036480).

25285242840 is an abundant number, since it is smaller than the sum of its proper divisors (67318830120).

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

25285242840 is a wasteful number, since it uses less digits than its factorization.

25285242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 25285242840 in words is "twenty-five billion, two hundred eighty-five million, two hundred forty-two thousand, eight hundred forty".