25872193580640 has 384 divisors, whose sum is σ = 91445374766592. Its totient is φ = 6094433157120.

The previous prime is 25872193580599. The next prime is 25872193580647. The reversal of 25872193580640 is 4608539127852.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25872193580647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43523502 + ... + 44113938.

It is an arithmetic number, because the mean of its divisors is an integer number (238138996788).

It is a 1-persistent number, because it is pandigital, but 2⋅25872193580640 = 51744387161280 is not.

Almost surely, 2^{25872193580640} is an apocalyptic number.

25872193580640 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 25872193580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722687383296).

25872193580640 is an abundant number, since it is smaller than the sum of its proper divisors (65573181185952).

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

25872193580640 is a wasteful number, since it uses less digits than its factorization.

25872193580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590702 (or 590694 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 25872193580640 in words is "twenty-five trillion, eight hundred seventy-two billion, one hundred ninety-three million, five hundred eighty thousand, six hundred forty".