25493774309640 has 3456 divisors, whose sum is σ = 118491940869120. Its totient is φ = 4891041792000.

The previous prime is 25493774309629. The next prime is 25493774309681. The reversal of 25493774309640 is 4690347739452.

It is a happy number.

25493774309640 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 3 + 77 + 430 + 96 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 42418925340 + ... + 42418925940.

It is an arithmetic number, because the mean of its divisors is an integer number (34285862520).

Almost surely, 2^{25493774309640} is an apocalyptic number.

25493774309640 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 25493774309640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59245970434560).

25493774309640 is an abundant number, since it is smaller than the sum of its proper divisors (92998166559480).

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

25493774309640 is a wasteful number, since it uses less digits than its factorization.

25493774309640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 25493774309640 in words is "twenty-five trillion, four hundred ninety-three billion, seven hundred seventy-four million, three hundred nine thousand, six hundred forty".