5979166099200 has 1296 divisors, whose sum is σ = 25138982668800. Its totient is φ = 1327409233920.

The previous prime is 5979166099187. The next prime is 5979166099223. The reversal of 5979166099200 is 29906619795.

5979166099200 is a `hidden beast` number, since 5 + 9 + 7 + 9 + 16 + 609 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 3450181534 + ... + 3450183266.

Almost surely, 2^{5979166099200} is an apocalyptic number.

5979166099200 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 5979166099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569491334400).

5979166099200 is an abundant number, since it is smaller than the sum of its proper divisors (19159816569600).

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

5979166099200 is a wasteful number, since it uses less digits than its factorization.

5979166099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 5979166099200 in words is "five trillion, nine hundred seventy-nine billion, one hundred sixty-six million, ninety-nine thousand, two hundred".