5249784960 has 1280 divisors, whose sum is σ = 24312752640. Its totient is φ = 1051066368.

The previous prime is 5249784941. The next prime is 5249784961. The reversal of 5249784960 is 694879425.

5249784960 is a `hidden beast` number, since 52 + 497 + 8 + 49 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5249784897 and 5249784906.

It is not an unprimeable number, because it can be changed into a prime (5249784961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141886062 + ... + 141886098.

It is an arithmetic number, because the mean of its divisors is an integer number (18994338).

Almost surely, 2^5249784960 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 5249784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156376320).

5249784960 is an abundant number, since it is smaller than the sum of its proper divisors (19062967680).

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

5249784960 is a wasteful number, since it uses less digits than its factorization.

5249784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5249784960 is about 72455.3997987728. The cubic root of 5249784960 is about 1737.9895924440.

The spelling of 5249784960 in words is "five billion, two hundred forty-nine million, seven hundred eighty-four thousand, nine hundred sixty".