5111620800 has 504 divisors, whose sum is σ = 19880842128. Its totient is φ = 1142169600.

The previous prime is 5111620751. The next prime is 5111620853. The reversal of 5111620800 is 80261115.

It is a super-2 number, since 2×5111620800² = 52257334405985280000, which contains 22 as substring.

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

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, 7550062 + ... + 7550738.

Almost surely, 2^5111620800 is an apocalyptic number.

5111620800 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 5111620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940421064).

5111620800 is an abundant number, since it is smaller than the sum of its proper divisors (14769221328).

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

5111620800 is a wasteful number, since it uses less digits than its factorization.

5111620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 5111620800 is about 71495.5998646071. The cubic root of 5111620800 is about 1722.6070074370.

Adding to 5111620800 its reverse (80261115), we get a palindrome (5191881915).

The spelling of 5111620800 in words is "five billion, one hundred eleven million, six hundred twenty thousand, eight hundred".