3825564253056 has 512 divisors, whose sum is σ = 14019386572800. Its totient is φ = 1000002060288.

The previous prime is 3825564253051. The next prime is 3825564253061. The reversal of 3825564253056 is 6503524655283.

3825564253056 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 56 + 4 + 2 + 530 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (3825564253051) and next prime (3825564253061).

It is a super-2 number, since 2×3825564253056² (a number of 26 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 = 3825564252993 and 3825564253011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825564253051) 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, 35484225 + ... + 35591871.

It is an arithmetic number, because the mean of its divisors is an integer number (27381614400).

Almost surely, 2^{3825564253056} is an apocalyptic number.

3825564253056 is a gapful number since it is divisible by the number (36) 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 3825564253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009693286400).

3825564253056 is an abundant number, since it is smaller than the sum of its proper divisors (10193822319744).

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

3825564253056 is a wasteful number, since it uses less digits than its factorization.

3825564253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107803 (or 107785 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 3825564253056 in words is "three trillion, eight hundred twenty-five billion, five hundred sixty-four million, two hundred fifty-three thousand, fifty-six".