5182742880 has 576 divisors, whose sum is σ = 21266219520. Its totient is φ = 1167519744.

The previous prime is 5182742867. The next prime is 5182742891. The reversal of 5182742880 is 882472815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37285851 + ... + 37285989.

It is an arithmetic number, because the mean of its divisors is an integer number (36920520).

Almost surely, 2^5182742880 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 5182742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10633109760).

5182742880 is an abundant number, since it is smaller than the sum of its proper divisors (16083476640).

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

5182742880 is a wasteful number, since it uses less digits than its factorization.

5182742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 5182742880 is about 71991.2694706796. The cubic root of 5182742880 is about 1730.5595748506.

The spelling of 5182742880 in words is "five billion, one hundred eighty-two million, seven hundred forty-two thousand, eight hundred eighty".