25752006678944 has 384 divisors, whose sum is σ = 67514737651200. Its totient is φ = 9382738083840.

The previous prime is 25752006678941. The next prime is 25752006678971. The reversal of 25752006678944 is 44987660025752.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25752006678941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2827090262 + ... + 2827099370.

It is an arithmetic number, because the mean of its divisors is an integer number (175819629300).

Almost surely, 2^{25752006678944} 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 25752006678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33757368825600).

25752006678944 is an abundant number, since it is smaller than the sum of its proper divisors (41762730972256).

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

25752006678944 is a wasteful number, since it uses less digits than its factorization.

25752006678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 65.

The spelling of 25752006678944 in words is "twenty-five trillion, seven hundred fifty-two billion, six million, six hundred seventy-eight thousand, nine hundred forty-four".