25893084672 has 480 divisors, whose sum is σ = 95422559232. Its totient is φ = 6825959424.

The previous prime is 25893084671. The next prime is 25893084713. The reversal of 25893084672 is 27648039852.

It is a super-2 number, since 2×25893084672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25893084671) 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 47 ways as a sum of consecutive naturals, for example, 11320713 + ... + 11322999.

Almost surely, 2^25893084672 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 25893084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711279616).

25893084672 is an abundant number, since it is smaller than the sum of its proper divisors (69529474560).

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

25893084672 is an equidigital number, since it uses as much as digits as its factorization.

25893084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 25893084672 in words is "twenty-five billion, eight hundred ninety-three million, eighty-four thousand, six hundred seventy-two".