5585171400 has 192 divisors, whose sum is σ = 19295640000. Its totient is φ = 1484904960.

The previous prime is 5585171357. The next prime is 5585171437. The reversal of 5585171400 is 41715855.

5585171400 is a `hidden beast` number, since 5 + 5 + 85 + 171 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045236 + ... + 2047964.

It is an arithmetic number, because the mean of its divisors is an integer number (100498125).

Almost surely, 2^5585171400 is an apocalyptic number.

5585171400 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 5585171400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820000).

5585171400 is an abundant number, since it is smaller than the sum of its proper divisors (13710468600).

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

5585171400 is a wasteful number, since it uses less digits than its factorization.

5585171400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 5585171400 is about 74734.0043086144. The cubic root of 5585171400 is about 1774.2391925604.

The spelling of 5585171400 in words is "five billion, five hundred eighty-five million, one hundred seventy-one thousand, four hundred".