5131420800 has 192 divisors, whose sum is σ = 18438507360. Its totient is φ = 1243955200.

The previous prime is 5131420799. The next prime is 5131420831. The reversal of 5131420800 is 80241315.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81304 + ... + 129896.

Almost surely, 2^5131420800 is an apocalyptic number.

5131420800 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 5131420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219253680).

5131420800 is an abundant number, since it is smaller than the sum of its proper divisors (13307086560).

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

5131420800 is a wasteful number, since it uses less digits than its factorization.

5131420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48631 (or 48614 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5131420800 is about 71633.9360917715. The cubic root of 5131420800 is about 1724.8283299021.

The spelling of 5131420800 in words is "five billion, one hundred thirty-one million, four hundred twenty thousand, eight hundred".