25830783528480 has 1440 divisors, whose sum is σ = 108145581833520. Its totient is φ = 5787872133120.

The previous prime is 25830783528443. The next prime is 25830783528481. The reversal of 25830783528480 is 8482538703852.

It is a happy number.

25830783528480 is a `hidden beast` number, since 2 + 5 + 8 + 30 + 78 + 3 + 52 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3139317763344 + 22691465765136 = 1771812^2 + 4763556^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×25830783528480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25830783528481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13674315376 + ... + 13674317264.

Almost surely, 2^{25830783528480} is an apocalyptic number.

25830783528480 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 25830783528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54072790916760).

25830783528480 is an abundant number, since it is smaller than the sum of its proper divisors (82314798305040).

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

25830783528480 is a wasteful number, since it uses less digits than its factorization.

25830783528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 25830783528480 in words is "twenty-five trillion, eight hundred thirty billion, seven hundred eighty-three million, five hundred twenty-eight thousand, four hundred eighty".