6551513819136 has 1920 divisors, whose sum is σ = 24293683814400. Its totient is φ = 1731870720000.

The previous prime is 6551513819129. The next prime is 6551513819159. The reversal of 6551513819136 is 6319183151556.

6551513819136 is a `hidden beast` number, since 6 + 5 + 5 + 1 + 513 + 8 + 1 + 91 + 36 = 666.

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

Its product of digits (2916000) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 43387508661 + ... + 43387508811.

It is an arithmetic number, because the mean of its divisors is an integer number (12652960320).

Almost surely, 2^{6551513819136} is an apocalyptic number.

6551513819136 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 6551513819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146841907200).

6551513819136 is an abundant number, since it is smaller than the sum of its proper divisors (17742169995264).

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

6551513819136 is a wasteful number, since it uses less digits than its factorization.

6551513819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 6551513819136 in words is "six trillion, five hundred fifty-one billion, five hundred thirteen million, eight hundred nineteen thousand, one hundred thirty-six".