5042217600 has 720 divisors, whose sum is σ = 21699272430. Its totient is φ = 1149603840.

The previous prime is 5042217571. The next prime is 5042217613. The reversal of 5042217600 is 67122405.

5042217600 is a `hidden beast` number, since 5 + 0 + 42 + 2 + 17 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4097024064 + 945193536 = 64008^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700602 + ... + 12700998.

Almost surely, 2^5042217600 is an apocalyptic number.

5042217600 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 5042217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849636215).

5042217600 is an abundant number, since it is smaller than the sum of its proper divisors (16657054830).

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

5042217600 is a wasteful number, since it uses less digits than its factorization.

5042217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5042217600 is about 71008.5741301711. The cubic root of 5042217600 is about 1714.7752030776.

The spelling of 5042217600 in words is "five billion, forty-two million, two hundred seventeen thousand, six hundred".