5330877600 has 144 divisors (see below), whose sum is σ = 17377512768. Its totient is φ = 1419479040.

The previous prime is 5330877547. The next prime is 5330877611. The reversal of 5330877600 is 67780335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319652 + ... + 2321948.

It is an arithmetic number, because the mean of its divisors is an integer number (120677172).

Almost surely, 2^5330877600 is an apocalyptic number.

5330877600 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 5330877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688756384).

5330877600 is an abundant number, since it is smaller than the sum of its proper divisors (12046635168).

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

5330877600 is a wasteful number, since it uses less digits than its factorization.

5330877600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5330877600 is about 73012.8591413869. The cubic root of 5330877600 is about 1746.8927282206.

The spelling of 5330877600 in words is "five billion, three hundred thirty million, eight hundred seventy-seven thousand, six hundred".