5052628800 has 168 divisors, whose sum is σ = 18418860800. Its totient is φ = 1347356160.

The previous prime is 5052628783. The next prime is 5052628811. The reversal of 5052628800 is 88262505.

5052628800 is a `hidden beast` number, since 50 + 526 + 2 + 8 + 80 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 15280 + ... + 101679.

Almost surely, 2^5052628800 is an apocalyptic number.

5052628800 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 5052628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209430400).

5052628800 is an abundant number, since it is smaller than the sum of its proper divisors (13366232000).

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

5052628800 is a wasteful number, since it uses less digits than its factorization.

5052628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116990 (or 116969 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5052628800 is about 71081.8457835754. The cubic root of 5052628800 is about 1715.9546176076.

The spelling of 5052628800 in words is "five billion, fifty-two million, six hundred twenty-eight thousand, eight hundred".