5486590200 has 768 divisors, whose sum is σ = 23218513920. Its totient is φ = 1038090240.

The previous prime is 5486590189. The next prime is 5486590229. The reversal of 5486590200 is 20956845.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 21348472 + ... + 21348728.

It is an arithmetic number, because the mean of its divisors is an integer number (30232440).

Almost surely, 2^5486590200 is an apocalyptic number.

5486590200 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 5486590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609256960).

5486590200 is an abundant number, since it is smaller than the sum of its proper divisors (17731923720).

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

5486590200 is a wasteful number, since it uses less digits than its factorization.

5486590200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5486590200 is about 74071.5208430339. The cubic root of 5486590200 is about 1763.7384163821.

It can be divided in two parts, 5486 and 590200, that added together give a triangular number (595686 = T₁₀₉₁).

The spelling of 5486590200 in words is "five billion, four hundred eighty-six million, five hundred ninety thousand, two hundred".