25285720808160 has 768 divisors, whose sum is σ = 93286182124800. Its totient is φ = 6388413235200.

The previous prime is 25285720808143. The next prime is 25285720808323. The reversal of 25285720808160 is 6180802758252.

25285720808160 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 572 + 0 + 8 + 0 + 8 + 1 + 60 = 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 = 25285720808097 and 25285720808106.

It is a congruent number.

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, 3728903970 + ... + 3728910750.

It is an arithmetic number, because the mean of its divisors is an integer number (121466382975).

Almost surely, 2^{25285720808160} is an apocalyptic number.

25285720808160 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 25285720808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46643091062400).

25285720808160 is an abundant number, since it is smaller than the sum of its proper divisors (68000461316640).

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

25285720808160 is a wasteful number, since it uses less digits than its factorization.

25285720808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 25285720808160 in words is "twenty-five trillion, two hundred eighty-five billion, seven hundred twenty million, eight hundred eight thousand, one hundred sixty".