5786886758400 has 2268 divisors, whose sum is σ = 24415037642268. Its totient is φ = 1357627392000.

The previous prime is 5786886758357. The next prime is 5786886758509. The reversal of 5786886758400 is 48576886875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5786886758400 is a `hidden beast` number, since 5 + 7 + 86 + 88 + 67 + 5 + 8 + 400 = 666.

It is a super-3 number, since 3×5786886758400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 186673766385 + ... + 186673766415.

Almost surely, 2^{5786886758400} is an apocalyptic number.

5786886758400 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 5786886758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207518821134).

5786886758400 is an abundant number, since it is smaller than the sum of its proper divisors (18628150883868).

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

5786886758400 is an equidigital number, since it uses as much as digits as its factorization.

5786886758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 5786886758400 in words is "five trillion, seven hundred eighty-six billion, eight hundred eighty-six million, seven hundred fifty-eight thousand, four hundred".