5549295768000 has 224 divisors, whose sum is σ = 18386336404800. Its totient is φ = 1474759782400.

The previous prime is 5549295767941. The next prime is 5549295768001. The reversal of 5549295768000 is 8675929455.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5549295768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637426 + ... + 7426574.

It is an arithmetic number, because the mean of its divisors is an integer number (82081858950).

Almost surely, 2^{5549295768000} is an apocalyptic number.

5549295768000 is a gapful number since it is divisible by the number (50) 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 5549295768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193168202400).

5549295768000 is an abundant number, since it is smaller than the sum of its proper divisors (12837040636800).

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

5549295768000 is a wasteful number, since it uses less digits than its factorization.

5549295768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789472 (or 789452 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 60.

The spelling of 5549295768000 in words is "five trillion, five hundred forty-nine billion, two hundred ninety-five million, seven hundred sixty-eight thousand".