25632552591360 has 4032 divisors, whose sum is σ = 117010730753280. Its totient is φ = 5297374494720.

The previous prime is 25632552591329. The next prime is 25632552591367. The reversal of 25632552591360 is 6319525523652.

25632552591360 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 2 + 552 + 59 + 1 + 36 + 0 = 666.

It is a super-2 number, since 2×25632552591360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25632552591297 and 25632552591306.

It is not an unprimeable number, because it can be changed into a prime (25632552591367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 883881123826 + ... + 883881123854.

It is an arithmetic number, because the mean of its divisors is an integer number (29020518540).

Almost surely, 2^{25632552591360} is an apocalyptic number.

25632552591360 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 25632552591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58505365376640).

25632552591360 is an abundant number, since it is smaller than the sum of its proper divisors (91378178161920).

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

25632552591360 is an equidigital number, since it uses as much as digits as its factorization.

25632552591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 25632552591360 in words is "twenty-five trillion, six hundred thirty-two billion, five hundred fifty-two million, five hundred ninety-one thousand, three hundred sixty".