5085475200 has 864 divisors, whose sum is σ = 21200830560. Its totient is φ = 1153105920.

The previous prime is 5085475193. The next prime is 5085475207. The reversal of 5085475200 is 25745805.

It is a happy number.

5085475200 is a `hidden beast` number, since 50 + 85 + 4 + 7 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5085475193) and next prime (5085475207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085475207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 108201577 + ... + 108201623.

Almost surely, 2^5085475200 is an apocalyptic number.

5085475200 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 5085475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600415280).

5085475200 is an abundant number, since it is smaller than the sum of its proper divisors (16115355360).

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

5085475200 is a wasteful number, since it uses less digits than its factorization.

5085475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5085475200 is about 71312.5178352300. The cubic root of 5085475200 is about 1719.6649789169.

The spelling of 5085475200 in words is "five billion, eighty-five million, four hundred seventy-five thousand, two hundred".