25977246104160 has 768 divisors, whose sum is σ = 101548255737600. Its totient is φ = 6158197850112.

The previous prime is 25977246104153. The next prime is 25977246104197. The reversal of 25977246104160 is 6140164277952.

25977246104160 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 7 + 2 + 4 + 610 + 4 + 16 + 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 = 25977246104097 and 25977246104106.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 646549992 + ... + 646590168.

It is an arithmetic number, because the mean of its divisors is an integer number (132224291325).

Almost surely, 2^{25977246104160} is an apocalyptic number.

25977246104160 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 25977246104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50774127868800).

25977246104160 is an abundant number, since it is smaller than the sum of its proper divisors (75571009633440).

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

25977246104160 is a wasteful number, since it uses less digits than its factorization.

25977246104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40640 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 25977246104160 in words is "twenty-five trillion, nine hundred seventy-seven billion, two hundred forty-six million, one hundred four thousand, one hundred sixty".