25563678845952 has 176 divisors, whose sum is σ = 73458801043712. Its totient is φ = 7857063936000.

The previous prime is 25563678845941. The next prime is 25563678845963. The reversal of 25563678845952 is 25954887636552.

It is an interprime number because it is at equal distance from previous prime (25563678845941) and next prime (25563678845963).

It is a super-2 number, since 2×25563678845952² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35869077 + ... + 36574827.

Almost surely, 2^{25563678845952} 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 25563678845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729400521856).

25563678845952 is an abundant number, since it is smaller than the sum of its proper divisors (47895122197760).

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

25563678845952 is a wasteful number, since it uses less digits than its factorization.

25563678845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706694 (or 706676 counting only the distinct ones).

The product of its digits is 4354560000, while the sum is 75.

The spelling of 25563678845952 in words is "twenty-five trillion, five hundred sixty-three billion, six hundred seventy-eight million, eight hundred forty-five thousand, nine hundred fifty-two".