25363031040 has 440 divisors, whose sum is σ = 94874028480. Its totient is φ = 6466977792.

The previous prime is 25363031039. The next prime is 25363031041. The reversal of 25363031040 is 4013036352.

It is a happy number.

25363031040 is a `hidden beast` number, since 25 + 3 + 630 + 3 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25363031039) and next prime (25363031041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25363030995 and 25363031013.

It is not an unprimeable number, because it can be changed into a prime (25363031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9537231 + ... + 9539889.

It is an arithmetic number, because the mean of its divisors is an integer number (215622792).

Almost surely, 2^25363031040 is an apocalyptic number.

25363031040 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 25363031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437014240).

25363031040 is an abundant number, since it is smaller than the sum of its proper divisors (69510997440).

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

25363031040 is a wasteful number, since it uses less digits than its factorization.

25363031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 25363031040 its reverse (4013036352), we get a palindrome (29376067392).

The spelling of 25363031040 in words is "twenty-five billion, three hundred sixty-three million, thirty-one thousand, forty".