25740180072 has 96 divisors (see below), whose sum is σ = 72894444480. Its totient is φ = 8190040320.

The previous prime is 25740180071. The next prime is 25740180113. The reversal of 25740180072 is 27008104752.

25740180072 is a `hidden beast` number, since 2 + 574 + 0 + 1 + 80 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25740180071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797268 + ... + 828924.

It is an arithmetic number, because the mean of its divisors is an integer number (759317130).

Almost surely, 2^25740180072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25740180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447222240).

25740180072 is an abundant number, since it is smaller than the sum of its proper divisors (47154264408).

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

25740180072 is a wasteful number, since it uses less digits than its factorization.

25740180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32183 (or 32176 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 25740180072 in words is "twenty-five billion, seven hundred forty million, one hundred eighty thousand, seventy-two".