5805102400 has 42 divisors (see below), whose sum is σ = 14284184030. Its totient is φ = 2322040320.

The previous prime is 5805102397. The next prime is 5805102427. The reversal of 5805102400 is 42015085.

It can be written as a sum of positive squares in 3 ways, for example, as 823001344 + 4982101056 = 28688^2 + 70584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1812495 + ... + 1815694.

Almost surely, 2^5805102400 is an apocalyptic number.

5805102400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5805102400 is an abundant number, since it is smaller than the sum of its proper divisors (8479081630).

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

5805102400 is a wasteful number, since it uses less digits than its factorization.

5805102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628211 (or 3628196 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 5805102400 is about 76191.2225915820. Note that the first 3 decimals coincide. The cubic root of 5805102400 is about 1797.2284920271.

Adding to 5805102400 its reverse (42015085), we get a palindrome (5847117485).

The spelling of 5805102400 in words is "five billion, eight hundred five million, one hundred two thousand, four hundred".