5115650400 has 216 divisors, whose sum is σ = 20616274224. Its totient is φ = 1169280000.

The previous prime is 5115650389. The next prime is 5115650413. The reversal of 5115650400 is 40565115.

It is a happy number.

5115650400 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 650 + 4 + 0 + 0 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 351 + ... + 101150.

It is an arithmetic number, because the mean of its divisors is an integer number (95445714).

Almost surely, 2^5115650400 is an apocalyptic number.

5115650400 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 5115650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308137112).

5115650400 is an abundant number, since it is smaller than the sum of its proper divisors (15500623824).

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

5115650400 is a wasteful number, since it uses less digits than its factorization.

5115650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101534 (or 101518 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5115650400 is about 71523.7750681548. The cubic root of 5115650400 is about 1723.0595445248.

The spelling of 5115650400 in words is "five billion, one hundred fifteen million, six hundred fifty thousand, four hundred".