6115507200 has 792 divisors, whose sum is σ = 25342187520. Its totient is φ = 1393459200.

The previous prime is 6115507169. The next prime is 6115507213. The reversal of 6115507200 is 27055116.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

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, 48153537 + ... + 48153663.

Almost surely, 2^6115507200 is an apocalyptic number.

6115507200 is a gapful number since it is divisible by the number (60) 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 6115507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671093760).

6115507200 is an abundant number, since it is smaller than the sum of its proper divisors (19226680320).

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

6115507200 is a wasteful number, since it uses less digits than its factorization.

6115507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 6115507200 is about 78201.7084212359. The cubic root of 6115507200 is about 1828.7071402252.

It can be divided in two parts, 6115 and 507200, that added together give a palindrome (513315).

The spelling of 6115507200 in words is "six billion, one hundred fifteen million, five hundred seven thousand, two hundred".