5959182720 has 512 divisors, whose sum is σ = 21227391360. Its totient is φ = 1415577600.

The previous prime is 5959182707. The next prime is 5959182727. The reversal of 5959182720 is 272819595.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5959182720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5959182727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81632604 + ... + 81632676.

Almost surely, 2^5959182720 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 5959182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613695680).

5959182720 is an abundant number, since it is smaller than the sum of its proper divisors (15268208640).

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

5959182720 is a wasteful number, since it uses less digits than its factorization.

5959182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 5959182720 is about 77195.7428878044. The cubic root of 5959182720 is about 1812.9906623727.

It can be divided in two parts, 59591 and 82720, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 5959182720 in words is "five billion, nine hundred fifty-nine million, one hundred eighty-two thousand, seven hundred twenty".