5217048000 has 560 divisors, whose sum is σ = 19734178464. Its totient is φ = 1360281600.

The previous prime is 5217047963. The next prime is 5217048007. The reversal of 5217048000 is 8407125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217048007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53783952 + ... + 53784048.

Almost surely, 2^5217048000 is an apocalyptic number.

5217048000 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 5217048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9867089232).

5217048000 is an abundant number, since it is smaller than the sum of its proper divisors (14517130464).

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

5217048000 is an equidigital number, since it uses as much as digits as its factorization.

5217048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5217048000 is about 72229.1353956283. The cubic root of 5217048000 is about 1734.3694331450.

The spelling of 5217048000 in words is "five billion, two hundred seventeen million, forty-eight thousand".