25918259040 has 384 divisors, whose sum is σ = 93588203520. Its totient is φ = 6695645184.

The previous prime is 25918259039. The next prime is 25918259047. The reversal of 25918259040 is 4095281952.

It is a happy number.

25918259040 is a `hidden beast` number, since 2 + 5 + 9 + 18 + 2 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25918259047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21724684 + ... + 21725876.

It is an arithmetic number, because the mean of its divisors is an integer number (243719280).

Almost surely, 2^25918259040 is an apocalyptic number.

25918259040 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 25918259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46794101760).

25918259040 is an abundant number, since it is smaller than the sum of its proper divisors (67669944480).

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

25918259040 is a wasteful number, since it uses less digits than its factorization.

25918259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 25918259040 in words is "twenty-five billion, nine hundred eighteen million, two hundred fifty-nine thousand, forty".