25235407800864 has 864 divisors, whose sum is σ = 79747435063296. Its totient is φ = 7561467002880.

The previous prime is 25235407800833. The next prime is 25235407800871. The reversal of 25235407800864 is 46800870453252.

25235407800864 is a `hidden beast` number, since 2 + 5 + 23 + 540 + 78 + 0 + 0 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25235407800864.

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 143 ways as a sum of consecutive naturals, for example, 44195109699 + ... + 44195110269.

It is an arithmetic number, because the mean of its divisors is an integer number (92300272064).

Almost surely, 2^{25235407800864} is an apocalyptic number.

25235407800864 is a gapful number since it is divisible by the number (24) 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 25235407800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39873717531648).

25235407800864 is an abundant number, since it is smaller than the sum of its proper divisors (54512027262432).

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

25235407800864 is a wasteful number, since it uses less digits than its factorization.

25235407800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 25235407800864 in words is "twenty-five trillion, two hundred thirty-five billion, four hundred seven million, eight hundred thousand, eight hundred sixty-four".