5485687200 has 864 divisors, whose sum is σ = 23724731520. Its totient is φ = 1219276800.

The previous prime is 5485687187. The next prime is 5485687223. The reversal of 5485687200 is 27865845.

5485687200 is a `hidden beast` number, since 548 + 5 + 6 + 87 + 20 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75146364 + ... + 75146436.

It is an arithmetic number, because the mean of its divisors is an integer number (27459180).

Almost surely, 2^5485687200 is an apocalyptic number.

5485687200 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 5485687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862365760).

5485687200 is an abundant number, since it is smaller than the sum of its proper divisors (18239044320).

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

5485687200 is a wasteful number, since it uses less digits than its factorization.

5485687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5485687200 is about 74065.4251321087. The cubic root of 5485687200 is about 1763.6416505637.

The spelling of 5485687200 in words is "five billion, four hundred eighty-five million, six hundred eighty-seven thousand, two hundred".