5115110400 has 297 divisors, whose sum is σ = 18438256291. Its totient is φ = 1354874880.

The previous prime is 5115110383. The next prime is 5115110411. The reversal of 5115110400 is 40115115.

It is a happy number.

The square root of 5115110400 is 71520.

It is a perfect power (a square), and thus also a powerful number.

5115110400 is a `hidden beast` number, since 511 + 5 + 110 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1526621184 + 3588489216 = 39072^2 + 59904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34329526 + ... + 34329674.

Almost surely, 2^5115110400 is an apocalyptic number.

5115110400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5115110400 is the 71520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5115110400

5115110400 is an abundant number, since it is smaller than the sum of its proper divisors (13323145891).

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

5115110400 is a wasteful number, since it uses less digits than its factorization.

5115110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The cubic root of 5115110400 is about 1722.9989145741.

Multiplying 5115110400 by its product of nonzero digits (100), we get a square (511511040000 = 715200²).

5115110400 divided by its product of nonzero digits (100) gives a square (51151104 = 7152²).

Adding to 5115110400 its reverse (40115115), we get a palindrome (5155225515).

The spelling of 5115110400 in words is "five billion, one hundred fifteen million, one hundred ten thousand, four hundred".