5110387200 has 720 divisors, whose sum is σ = 19947223296. Its totient is φ = 1293926400.

The previous prime is 5110387199. The next prime is 5110387237. The reversal of 5110387200 is 27830115.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5110387200² = 52232114667847680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96422374 + ... + 96422426.

Almost surely, 2^5110387200 is an apocalyptic number.

5110387200 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 5110387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973611648).

5110387200 is an abundant number, since it is smaller than the sum of its proper divisors (14836836096).

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

5110387200 is an equidigital number, since it uses as much as digits as its factorization.

5110387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5110387200 is about 71486.9722397025. The cubic root of 5110387200 is about 1722.4684226283.

The spelling of 5110387200 in words is "five billion, one hundred ten million, three hundred eighty-seven thousand, two hundred".