25828524456 has 384 divisors, whose sum is σ = 84701635200. Its totient is φ = 6502809600.

The previous prime is 25828524443. The next prime is 25828524457. The reversal of 25828524456 is 65442582852.

It is a super-2 number, since 2×25828524456² (a number of 22 digits) contains 22 as substring.

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 = 25828524399 and 25828524408.

It is not an unprimeable number, because it can be changed into a prime (25828524457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36844906 + ... + 36845606.

It is an arithmetic number, because the mean of its divisors is an integer number (220577175).

Almost surely, 2^25828524456 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 25828524456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42350817600).

25828524456 is an abundant number, since it is smaller than the sum of its proper divisors (58873110744).

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

25828524456 is a wasteful number, since it uses less digits than its factorization.

25828524456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 846 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 51.

The spelling of 25828524456 in words is "twenty-five billion, eight hundred twenty-eight million, five hundred twenty-four thousand, four hundred fifty-six".