5151112800 has 288 divisors, whose sum is σ = 17875105920. Its totient is φ = 1284710400.

The previous prime is 5151112741. The next prime is 5151112891. The reversal of 5151112800 is 82111515.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3784120 + ... + 3785480.

It is an arithmetic number, because the mean of its divisors is an integer number (62066340).

Almost surely, 2^5151112800 is an apocalyptic number.

5151112800 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 5151112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937552960).

5151112800 is an abundant number, since it is smaller than the sum of its proper divisors (12723993120).

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

5151112800 is a wasteful number, since it uses less digits than its factorization.

5151112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

The square root of 5151112800 is about 71771.2532982391. The cubic root of 5151112800 is about 1727.0318758270.

The spelling of 5151112800 in words is "five billion, one hundred fifty-one million, one hundred twelve thousand, eight hundred".