5519265840 has 480 divisors, whose sum is σ = 21643614720. Its totient is φ = 1246924800.

The previous prime is 5519265811. The next prime is 5519265841. The reversal of 5519265840 is 485629155.

5519265840 is a `hidden beast` number, since 55 + 19 + 2 + 6 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5519265841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7468191 + ... + 7468929.

It is an arithmetic number, because the mean of its divisors is an integer number (45090864).

Almost surely, 2^5519265840 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 5519265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821807360).

5519265840 is an abundant number, since it is smaller than the sum of its proper divisors (16124348880).

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

5519265840 is a wasteful number, since it uses less digits than its factorization.

5519265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5519265840 is about 74291.7615890214. The cubic root of 5519265840 is about 1767.2328302111.

The spelling of 5519265840 in words is "five billion, five hundred nineteen million, two hundred sixty-five thousand, eight hundred forty".