25059105872640 has 864 divisors, whose sum is σ = 102823558795776. Its totient is φ = 5724131328000.

The previous prime is 25059105872623. The next prime is 25059105872659. The reversal of 25059105872640 is 4627850195052.

25059105872640 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 9 + 10 + 587 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4901054724 + ... + 4901059836.

Almost surely, 2^{25059105872640} is an apocalyptic number.

25059105872640 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 25059105872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51411779397888).

25059105872640 is an abundant number, since it is smaller than the sum of its proper divisors (77764452923136).

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

25059105872640 is an equidigital number, since it uses as much as digits as its factorization.

25059105872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 25059105872640 in words is "twenty-five trillion, fifty-nine billion, one hundred five million, eight hundred seventy-two thousand, six hundred forty".