5286889958400 has 1848 divisors, whose sum is σ = 20874134460960. Its totient is φ = 1324343623680.

The previous prime is 5286889958327. The next prime is 5286889958417. The reversal of 5286889958400 is 48599886825.

5286889958400 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 88 + 99 + 58 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 46786636744 + ... + 46786636856.

Almost surely, 2^{5286889958400} is an apocalyptic number.

5286889958400 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 5286889958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437067230480).

5286889958400 is an abundant number, since it is smaller than the sum of its proper divisors (15587244502560).

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

5286889958400 is a wasteful number, since it uses less digits than its factorization.

5286889958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 5286889958400 in words is "five trillion, two hundred eighty-six billion, eight hundred eighty-nine million, nine hundred fifty-eight thousand, four hundred".