5134348800 has 360 divisors, whose sum is σ = 21002631936. Its totient is φ = 1173381120.

The previous prime is 5134348783. The next prime is 5134348801. The reversal of 5134348800 is 88434315.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5134348800² = 52723075200122880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5134348801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 803217 + ... + 809583.

Almost surely, 2^5134348800 is an apocalyptic number.

5134348800 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 5134348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501315968).

5134348800 is an abundant number, since it is smaller than the sum of its proper divisors (15868283136).

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

5134348800 is a wasteful number, since it uses less digits than its factorization.

5134348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5134348800 is about 71654.3704180003. The cubic root of 5134348800 is about 1725.1563311374.

The spelling of 5134348800 in words is "five billion, one hundred thirty-four million, three hundred forty-eight thousand, eight hundred".