5949805518720 has 2560 divisors, whose sum is σ = 26662985395200. Its totient is φ = 1234047467520.

The previous prime is 5949805518719. The next prime is 5949805518733. The reversal of 5949805518720 is 278155089495.

5949805518720 is a `hidden beast` number, since 5 + 9 + 4 + 9 + 8 + 0 + 551 + 8 + 72 + 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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21173684980 + ... + 21173685260.

It is an arithmetic number, because the mean of its divisors is an integer number (10415228670).

Almost surely, 2^{5949805518720} 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 5949805518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331492697600).

5949805518720 is an abundant number, since it is smaller than the sum of its proper divisors (20713179876480).

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

5949805518720 is a wasteful number, since it uses less digits than its factorization.

5949805518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 5949805518720 in words is "five trillion, nine hundred forty-nine billion, eight hundred five million, five hundred eighteen thousand, seven hundred twenty".