5986688400 has 960 divisors, whose sum is σ = 27809648640. Its totient is φ = 1186099200.

The previous prime is 5986688387. The next prime is 5986688417. The reversal of 5986688400 is 48866895.

It is a happy number.

5986688400 is a `hidden beast` number, since 598 + 6 + 6 + 8 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19126644 + ... + 19126956.

It is an arithmetic number, because the mean of its divisors is an integer number (28968384).

Almost surely, 2^5986688400 is an apocalyptic number.

5986688400 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 5986688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904824320).

5986688400 is an abundant number, since it is smaller than the sum of its proper divisors (21822960240).

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

5986688400 is a wasteful number, since it uses less digits than its factorization.

5986688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 5986688400 is about 77373.6932038274. The cubic root of 5986688400 is about 1815.7757765557.

The spelling of 5986688400 in words is "five billion, nine hundred eighty-six million, six hundred eighty-eight thousand, four hundred".