5021832816 has 800 divisors, whose sum is σ = 20165376000. Its totient is φ = 1188794880.

The previous prime is 5021832779. The next prime is 5021832853. The reversal of 5021832816 is 6182381205.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5021832779) and next prime (5021832853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63567465 + ... + 63567543.

It is an arithmetic number, because the mean of its divisors is an integer number (25206720).

Almost surely, 2^5021832816 is an apocalyptic number.

5021832816 is a gapful number since it is divisible by the number (56) 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 5021832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082688000).

5021832816 is an abundant number, since it is smaller than the sum of its proper divisors (15143543184).

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

5021832816 is a wasteful number, since it uses less digits than its factorization.

5021832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5021832816 is about 70864.8912791094. The cubic root of 5021832816 is about 1712.4612387980.

The spelling of 5021832816 in words is "five billion, twenty-one million, eight hundred thirty-two thousand, eight hundred sixteen".