25794201582072 has 2048 divisors, whose sum is σ = 100633632768000. Its totient is φ = 5991526195200.

The previous prime is 25794201582059. The next prime is 25794201582109. The reversal of 25794201582072 is 27028510249752.

It is a happy number.

25794201582072 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 420 + 1 + 5 + 8 + 207 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 47155761303 + ... + 47155761849.

It is an arithmetic number, because the mean of its divisors is an integer number (49137516000).

Almost surely, 2^{25794201582072} is an apocalyptic number.

25794201582072 is a gapful number since it is divisible by the number (22) 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 25794201582072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50316816384000).

25794201582072 is an abundant number, since it is smaller than the sum of its proper divisors (74839431185928).

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

25794201582072 is a wasteful number, since it uses less digits than its factorization.

25794201582072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 25794201582072 in words is "twenty-five trillion, seven hundred ninety-four billion, two hundred one million, five hundred eighty-two thousand, seventy-two".