25905542860800 has 1560 divisors, whose sum is σ = 104106450088872. Its totient is φ = 6341787648000.

The previous prime is 25905542860727. The next prime is 25905542860811. The reversal of 25905542860800 is 806824550952.

25905542860800 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 5 + 5 + 4 + 28 + 608 + 0 + 0 = 666.

25905542860800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6341693865984 + 19563848994816 = 2518272^2 + 4423104^2 .

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

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 119 ways as a sum of consecutive naturals, for example, 5781194560 + ... + 5781199040.

Almost surely, 2^{25905542860800} is an apocalyptic number.

25905542860800 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 25905542860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52053225044436).

25905542860800 is an abundant number, since it is smaller than the sum of its proper divisors (78200907228072).

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

25905542860800 is a wasteful number, since it uses less digits than its factorization.

25905542860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 25905542860800 in words is "twenty-five trillion, nine hundred five billion, five hundred forty-two million, eight hundred sixty thousand, eight hundred".