5861680400 has 60 divisors (see below), whose sum is σ = 14090662500. Its totient is φ = 2343344640.

The previous prime is 5861680399. The next prime is 5861680403. The reversal of 5861680400 is 40861685.

It can be written as a sum of positive squares in 6 ways, for example, as 268435456 + 5593244944 = 16384^2 + 74788^2 .

It is a super-2 number, since 2×5861680400² = 68718594223488320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5861680403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1016726 + ... + 1022474.

It is an arithmetic number, because the mean of its divisors is an integer number (234844375).

Almost surely, 2^5861680400 is an apocalyptic number.

5861680400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5861680400 is an abundant number, since it is smaller than the sum of its proper divisors (8228982100).

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

5861680400 is a wasteful number, since it uses less digits than its factorization.

5861680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 5861680400 is about 76561.6117907663. The cubic root of 5861680400 is about 1803.0483736349.

The spelling of 5861680400 in words is "five billion, eight hundred sixty-one million, six hundred eighty thousand, four hundred".