6551486305056 has 2304 divisors, whose sum is σ = 26102996236800. Its totient is φ = 1597740318720.

The previous prime is 6551486305051. The next prime is 6551486305061. The reversal of 6551486305056 is 6505036841556.

6551486305056 is a `hidden beast` number, since 6 + 5 + 51 + 4 + 86 + 3 + 0 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6551486305051) and next prime (6551486305061).

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 = 6551486304993 and 6551486305011.

It is not an unprimeable number, because it can be changed into a prime (6551486305051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57977754856 + ... + 57977754968.

It is an arithmetic number, because the mean of its divisors is an integer number (11329425450).

Almost surely, 2^{6551486305056} is an apocalyptic number.

6551486305056 is a gapful number since it is divisible by the number (66) 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 6551486305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051498118400).

6551486305056 is an abundant number, since it is smaller than the sum of its proper divisors (19551509931744).

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

6551486305056 is a wasteful number, since it uses less digits than its factorization.

6551486305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 6551486305056 in words is "six trillion, five hundred fifty-one billion, four hundred eighty-six million, three hundred five thousand, fifty-six".