5219257680 has 800 divisors, whose sum is σ = 22867536384. Its totient is φ = 1073958912.

The previous prime is 5219257679. The next prime is 5219257691. The reversal of 5219257680 is 867529125.

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 159 ways as a sum of consecutive naturals, for example, 31252957 + ... + 31253123.

Almost surely, 2^5219257680 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 5219257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433768192).

5219257680 is an abundant number, since it is smaller than the sum of its proper divisors (17648278704).

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

5219257680 is a wasteful number, since it uses less digits than its factorization.

5219257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5219257680 is about 72244.4300967210. The cubic root of 5219257680 is about 1734.6142625649.

The spelling of 5219257680 in words is "five billion, two hundred nineteen million, two hundred fifty-seven thousand, six hundred eighty".