25803580320 has 720 divisors, whose sum is σ = 106993988640. Its totient is φ = 5839174656.

The previous prime is 25803580303. The next prime is 25803580337. The reversal of 25803580320 is 2308530852.

25803580320 is a `hidden beast` number, since 2 + 58 + 0 + 3 + 580 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (25803580303) and next prime (25803580337).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113672047 + ... + 113672273.

It is an arithmetic number, because the mean of its divisors is an integer number (148602762).

Almost surely, 2^25803580320 is an apocalyptic number.

25803580320 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 25803580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53496994320).

25803580320 is an abundant number, since it is smaller than the sum of its proper divisors (81190408320).

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

25803580320 is a wasteful number, since it uses less digits than its factorization.

25803580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25803580320 in words is "twenty-five billion, eight hundred three million, five hundred eighty thousand, three hundred twenty".