5166028800 has 576 divisors, whose sum is σ = 19681552800. Its totient is φ = 1327104000.

The previous prime is 5166028793. The next prime is 5166028811. The reversal of 5166028800 is 88206615.

It is a happy number.

5166028800 is a `hidden beast` number, since 516 + 60 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 51148750 + ... + 51148850.

Almost surely, 2^5166028800 is an apocalyptic number.

5166028800 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 5166028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840776400).

5166028800 is an abundant number, since it is smaller than the sum of its proper divisors (14515524000).

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

5166028800 is a wasteful number, since it uses less digits than its factorization.

5166028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5166028800 is about 71875.0916521155. The cubic root of 5166028800 is about 1728.6972494856.

The spelling of 5166028800 in words is "five billion, one hundred sixty-six million, twenty-eight thousand, eight hundred".