25151321971056 has 160 divisors (see below), whose sum is σ = 68549827387392. Its totient is φ = 7930690225920.

The previous prime is 25151321971007. The next prime is 25151321971073. The reversal of 25151321971056 is 65017912315152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25151321970996 and 25151321971014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84339171 + ... + 84636861.

Almost surely, 2^{25151321971056} 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 25151321971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34274913693696).

25151321971056 is an abundant number, since it is smaller than the sum of its proper divisors (43398505416336).

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

25151321971056 is a wasteful number, since it uses less digits than its factorization.

25151321971056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298571 (or 298565 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 48.

The spelling of 25151321971056 in words is "twenty-five trillion, one hundred fifty-one billion, three hundred twenty-one million, nine hundred seventy-one thousand, fifty-six".