5131468800 has 456 divisors, whose sum is σ = 19503476400. Its totient is φ = 1321205760.

The previous prime is 5131468777. The next prime is 5131468807. The reversal of 5131468800 is 88641315.

5131468800 is a `hidden beast` number, since 513 + 1 + 4 + 68 + 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 not an unprimeable number, because it can be changed into a prime (5131468807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176947186 + ... + 176947214.

Almost surely, 2^5131468800 is an apocalyptic number.

5131468800 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 5131468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751738200).

5131468800 is an abundant number, since it is smaller than the sum of its proper divisors (14372007600).

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

5131468800 is an frugal number, since it uses more digits than its factorization.

5131468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

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

The square root of 5131468800 is about 71634.2711277221. The cubic root of 5131468800 is about 1724.8337079773.

The spelling of 5131468800 in words is "five billion, one hundred thirty-one million, four hundred sixty-eight thousand, eight hundred".