25827183120 has 80 divisors (see below), whose sum is σ = 80205402240. Its totient is φ = 6875108352.

The previous prime is 25827183119. The next prime is 25827183121. The reversal of 25827183120 is 2138172852.

It is an interprime number because it is at equal distance from previous prime (25827183119) and next prime (25827183121).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (25827183121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41997 + ... + 231123.

It is an arithmetic number, because the mean of its divisors is an integer number (1002567528).

Almost surely, 2^25827183120 is an apocalyptic number.

25827183120 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 25827183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40102701120).

25827183120 is an abundant number, since it is smaller than the sum of its proper divisors (54378219120).

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

25827183120 is a wasteful number, since it uses less digits than its factorization.

25827183120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189712 (or 189706 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 25827183120 in words is "twenty-five billion, eight hundred twenty-seven million, one hundred eighty-three thousand, one hundred twenty".