5246217600 has 384 divisors, whose sum is σ = 18812129280. Its totient is φ = 1277337600.

The previous prime is 5246217593. The next prime is 5246217601. The reversal of 5246217600 is 67126425.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246217601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15849435 + ... + 15849765.

It is an arithmetic number, because the mean of its divisors is an integer number (48989920).

Almost surely, 2^5246217600 is an apocalyptic number.

5246217600 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 5246217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406064640).

5246217600 is an abundant number, since it is smaller than the sum of its proper divisors (13565911680).

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

5246217600 is a wasteful number, since it uses less digits than its factorization.

5246217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5246217600 is about 72430.7779883662. Note that the first 3 decimals coincide. The cubic root of 5246217600 is about 1737.5958341288.

The spelling of 5246217600 in words is "five billion, two hundred forty-six million, two hundred seventeen thousand, six hundred".