25749106704 has 120 divisors (see below), whose sum is σ = 72580622400. Its totient is φ = 8521438464.

The previous prime is 25749106703. The next prime is 25749106723. The reversal of 25749106704 is 40760194752.

25749106704 is a `hidden beast` number, since 2 + 574 + 9 + 1 + 0 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25749106704.

It is not an unprimeable number, because it can be changed into a prime (25749106703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21691999 + ... + 21693185.

It is an arithmetic number, because the mean of its divisors is an integer number (604838520).

Almost surely, 2^25749106704 is an apocalyptic number.

25749106704 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 25749106704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290311200).

25749106704 is an abundant number, since it is smaller than the sum of its proper divisors (46831515696).

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

25749106704 is a wasteful number, since it uses less digits than its factorization.

25749106704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 25749106704 in words is "twenty-five billion, seven hundred forty-nine million, one hundred six thousand, seven hundred four".