25849561454640 has 480 divisors, whose sum is σ = 108363200025600. Its totient is φ = 5364848609280.

The previous prime is 25849561454611. The next prime is 25849561454657. The reversal of 25849561454640 is 4645416594852.

25849561454640 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 9 + 5 + 614 + 5 + 4 + 6 + 4 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 45678541 + ... + 46240979.

It is an arithmetic number, because the mean of its divisors is an integer number (225756666720).

Almost surely, 2^{25849561454640} is an apocalyptic number.

25849561454640 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 25849561454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54181600012800).

25849561454640 is an abundant number, since it is smaller than the sum of its proper divisors (82513638570960).

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

25849561454640 is a wasteful number, since it uses less digits than its factorization.

25849561454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563305 (or 563296 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 25849561454640 in words is "twenty-five trillion, eight hundred forty-nine billion, five hundred sixty-one million, four hundred fifty-four thousand, six hundred forty".