25950772949760 has 864 divisors, whose sum is σ = 94095429722112. Its totient is φ = 6847458508800.

The previous prime is 25950772949743. The next prime is 25950772949779. The reversal of 25950772949760 is 6794927705952.

25950772949760 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 0 + 7 + 72 + 9 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21607637160 + ... + 21607638360.

Almost surely, 2^{25950772949760} is an apocalyptic number.

25950772949760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25950772949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47047714861056).

25950772949760 is an abundant number, since it is smaller than the sum of its proper divisors (68144656772352).

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

25950772949760 is a wasteful number, since it uses less digits than its factorization.

25950772949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 25950772949760 in words is "twenty-five trillion, nine hundred fifty billion, seven hundred seventy-two million, nine hundred forty-nine thousand, seven hundred sixty".