25340912640 has 704 divisors, whose sum is σ = 98051627520. Its totient is φ = 6181355520.

The previous prime is 25340912593. The next prime is 25340912669. The reversal of 25340912640 is 4621904352.

It is a happy number.

25340912640 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 9 + 1 + 2 + 640 = 666.

It is a super-2 number, since 2×25340912640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25340912595 and 25340912604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96353149 + ... + 96353411.

It is an arithmetic number, because the mean of its divisors is an integer number (139277880).

Almost surely, 2^25340912640 is an apocalyptic number.

25340912640 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 25340912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49025813760).

25340912640 is an abundant number, since it is smaller than the sum of its proper divisors (72710714880).

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

25340912640 is a wasteful number, since it uses less digits than its factorization.

25340912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25340912640 in words is "twenty-five billion, three hundred forty million, nine hundred twelve thousand, six hundred forty".