5219742528000 has 2880 divisors, whose sum is σ = 25464811147776. Its totient is φ = 999972864000.

The previous prime is 5219742527999. The next prime is 5219742528017. The reversal of 5219742528000 is 8252479125.

5219742528000 is a `hidden beast` number, since 5 + 219 + 7 + 425 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5219742528000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6342335589 + ... + 6342336411.

Almost surely, 2^{5219742528000} is an apocalyptic number.

5219742528000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5219742528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732405573888).

5219742528000 is an abundant number, since it is smaller than the sum of its proper divisors (20245068619776).

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

5219742528000 is a wasteful number, since it uses less digits than its factorization.

5219742528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5219742528000 in words is "five trillion, two hundred nineteen billion, seven hundred forty-two million, five hundred twenty-eight thousand".