5701900800 has 240 divisors, whose sum is σ = 19073466720. Its totient is φ = 1501347840.

The previous prime is 5701900781. The next prime is 5701900811. The reversal of 5701900800 is 80091075.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186306 + ... + 3188094.

It is an arithmetic number, because the mean of its divisors is an integer number (79472778).

Almost surely, 2^5701900800 is an apocalyptic number.

5701900800 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 5701900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536733360).

5701900800 is an abundant number, since it is smaller than the sum of its proper divisors (13371565920).

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

5701900800 is a wasteful number, since it uses less digits than its factorization.

5701900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 5701900800 is about 75510.9316589327. The cubic root of 5701900800 is about 1786.5145287648.

Adding to 5701900800 its reverse (80091075), we get a palindrome (5781991875).

The spelling of 5701900800 in words is "five billion, seven hundred one million, nine hundred thousand, eight hundred".