25794123561360 has 640 divisors, whose sum is σ = 110846533939200. Its totient is φ = 5356093870080.

The previous prime is 25794123561359. The next prime is 25794123561413. The reversal of 25794123561360 is 6316532149752.

25794123561360 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 4 + 12 + 3 + 5 + 613 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25794123561297 and 25794123561306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242607732 + ... + 242714028.

It is an arithmetic number, because the mean of its divisors is an integer number (173197709280).

Almost surely, 2^{25794123561360} is an apocalyptic number.

25794123561360 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 25794123561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55423266969600).

25794123561360 is an abundant number, since it is smaller than the sum of its proper divisors (85052410377840).

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

25794123561360 is a wasteful number, since it uses less digits than its factorization.

25794123561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107796 (or 107784 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 25794123561360 in words is "twenty-five trillion, seven hundred ninety-four billion, one hundred twenty-three million, five hundred sixty-one thousand, three hundred sixty".