25278761644032 has 416 divisors, whose sum is σ = 73962344780800. Its totient is φ = 7631888449536.

The previous prime is 25278761644027. The next prime is 25278761644043. The reversal of 25278761644032 is 23044616787252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2057017344 + ... + 2057029632.

Almost surely, 2^{25278761644032} 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 25278761644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36981172390400).

25278761644032 is an abundant number, since it is smaller than the sum of its proper divisors (48683583136768).

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

25278761644032 is a wasteful number, since it uses less digits than its factorization.

25278761644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12571 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 25278761644032 in words is "twenty-five trillion, two hundred seventy-eight billion, seven hundred sixty-one million, six hundred forty-four thousand, thirty-two".