5949112366080 has 1320 divisors, whose sum is σ = 24447057624792. Its totient is φ = 1377979858944.

The previous prime is 5949112366073. The next prime is 5949112366129. The reversal of 5949112366080 is 806632119495.

5949112366080 is a `hidden beast` number, since 5 + 9 + 4 + 9 + 1 + 1 + 23 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2965118690304 + 2983993675776 = 1721952^2 + 1727424^2 .

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1191488064 + ... + 1191493056.

Almost surely, 2^{5949112366080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5949112366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223528812396).

5949112366080 is an abundant number, since it is smaller than the sum of its proper divisors (18497945258712).

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

5949112366080 is a wasteful number, since it uses less digits than its factorization.

5949112366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5949112366080 in words is "five trillion, nine hundred forty-nine billion, one hundred twelve million, three hundred sixty-six thousand, eighty".