25862770752 has 448 divisors, whose sum is σ = 91044979200. Its totient is φ = 6416105472.

The previous prime is 25862770723. The next prime is 25862770753. The reversal of 25862770752 is 25707726852.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 25862770695 and 25862770704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25862770753) 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, 14553288 + ... + 14555064.

It is an arithmetic number, because the mean of its divisors is an integer number (203225400).

Almost surely, 2^25862770752 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 25862770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45522489600).

25862770752 is an abundant number, since it is smaller than the sum of its proper divisors (65182208448).

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

25862770752 is a wasteful number, since it uses less digits than its factorization.

25862770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 25862770752 in words is "twenty-five billion, eight hundred sixty-two million, seven hundred seventy thousand, seven hundred fifty-two".