5486745600 has 864 divisors, whose sum is σ = 23733637200. Its totient is φ = 1254113280.

The previous prime is 5486745599. The next prime is 5486745601. The reversal of 5486745600 is 65476845.

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.

It is a Jordan-Polya number, since it can be written as (7!)² ⋅ (3!)³.

5486745600 is a `hidden beast` number, since 5 + 4 + 86 + 7 + 4 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5486745599) and next prime (5486745601).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486745601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 783820797 + ... + 783820803.

Almost surely, 2^5486745600 is an apocalyptic number.

5486745600 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 5486745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866818600).

5486745600 is an abundant number, since it is smaller than the sum of its proper divisors (18246891600).

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

5486745600 is an frugal number, since it uses more digits than its factorization.

5486745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5486745600 is about 74072.5698217633. The cubic root of 5486745600 is about 1763.7550680335.

The spelling of 5486745600 in words is "five billion, four hundred eighty-six million, seven hundred forty-five thousand, six hundred".