25835253360 has 160 divisors (see below), whose sum is σ = 91686988800. Its totient is φ = 5895112704.

The previous prime is 25835253359. The next prime is 25835253361. The reversal of 25835253360 is 6335253852.

It is an interprime number because it is at equal distance from previous prime (25835253359) and next prime (25835253361).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25835253361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993484 + ... + 1019156.

It is an arithmetic number, because the mean of its divisors is an integer number (573043680).

Almost surely, 2^25835253360 is an apocalyptic number.

25835253360 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 25835253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843494400).

25835253360 is an abundant number, since it is smaller than the sum of its proper divisors (65851735440).

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

25835253360 is a wasteful number, since it uses less digits than its factorization.

25835253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26295 (or 26289 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 25835253360 in words is "twenty-five billion, eight hundred thirty-five million, two hundred fifty-three thousand, three hundred sixty".