6055099814400 has 1440 divisors, whose sum is σ = 25409011719168. Its totient is φ = 1259687116800.

The previous prime is 6055099814371. The next prime is 6055099814443. The reversal of 6055099814400 is 44189905506.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1785636705 + ... + 1785640095.

Almost surely, 2^{6055099814400} is an apocalyptic number.

6055099814400 is a gapful number since it is divisible by the number (60) 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 6055099814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704505859584).

6055099814400 is an abundant number, since it is smaller than the sum of its proper divisors (19353911904768).

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

6055099814400 is a wasteful number, since it uses less digits than its factorization.

6055099814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 6055099814400 in words is "six trillion, fifty-five billion, ninety-nine million, eight hundred fourteen thousand, four hundred".