5115830400 has 768 divisors, whose sum is σ = 20535292800. Its totient is φ = 1254113280.

The previous prime is 5115830371. The next prime is 5115830429. The reversal of 5115830400 is 40385115.

It is an interprime number because it is at equal distance from previous prime (5115830371) and next prime (5115830429).

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 95 ways as a sum of consecutive naturals, for example, 118972779 + ... + 118972821.

Almost surely, 2^5115830400 is an apocalyptic number.

5115830400 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 5115830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267646400).

5115830400 is an abundant number, since it is smaller than the sum of its proper divisors (15419462400).

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

5115830400 is an equidigital number, since it uses as much as digits as its factorization.

5115830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5115830400 is about 71525.0333799293. The cubic root of 5115830400 is about 1723.0797535602.

The spelling of 5115830400 in words is "five billion, one hundred fifteen million, eight hundred thirty thousand, four hundred".