25493400864 has 240 divisors, whose sum is σ = 76993519680. Its totient is φ = 8272212480.

The previous prime is 25493400857. The next prime is 25493400871. The reversal of 25493400864 is 46800439452.

25493400864 is a `hidden beast` number, since 2 + 549 + 3 + 40 + 0 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (25493400857) and next prime (25493400871).

It is a super-2 number, since 2×25493400864² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15273822 + ... + 15275490.

It is an arithmetic number, because the mean of its divisors is an integer number (320806332).

Almost surely, 2^25493400864 is an apocalyptic number.

25493400864 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 25493400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38496759840).

25493400864 is an abundant number, since it is smaller than the sum of its proper divisors (51500118816).

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

25493400864 is a wasteful number, since it uses less digits than its factorization.

25493400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1828 counting only the distinct ones).

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

The spelling of 25493400864 in words is "twenty-five billion, four hundred ninety-three million, four hundred thousand, eight hundred sixty-four".