5886944870400 has 1728 divisors, whose sum is σ = 24714758154240. Its totient is φ = 1359898214400.

The previous prime is 5886944870369. The next prime is 5886944870453. The reversal of 5886944870400 is 40784496885.

5886944870400 is a `hidden beast` number, since 5 + 8 + 86 + 9 + 448 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×5886944870400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22383820669 + ... + 22383820931.

It is an arithmetic number, because the mean of its divisors is an integer number (14302522080).

Almost surely, 2^{5886944870400} is an apocalyptic number.

5886944870400 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 5886944870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357379077120).

5886944870400 is an abundant number, since it is smaller than the sum of its proper divisors (18827813283840).

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

5886944870400 is a wasteful number, since it uses less digits than its factorization.

5886944870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 5886944870400 in words is "five trillion, eight hundred eighty-six billion, nine hundred forty-four million, eight hundred seventy thousand, four hundred".