5042681600 has 216 divisors, whose sum is σ = 13796116992. Its totient is φ = 1809510400.

The previous prime is 5042681599. The next prime is 5042681603. The reversal of 5042681600 is 61862405.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042681603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842769 + ... + 5843631.

It is an arithmetic number, because the mean of its divisors is an integer number (63870912).

Almost surely, 2^5042681600 is an apocalyptic number.

5042681600 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 5042681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898058496).

5042681600 is an abundant number, since it is smaller than the sum of its proper divisors (8753435392).

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

5042681600 is a wasteful number, since it uses less digits than its factorization.

5042681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5042681600 is about 71011.8412660874. The cubic root of 5042681600 is about 1714.8278010515.

The spelling of 5042681600 in words is "five billion, forty-two million, six hundred eighty-one thousand, six hundred".