6115880900 has 72 divisors (see below), whose sum is σ = 14106597120. Its totient is φ = 2293527040.

The previous prime is 6115880879. The next prime is 6115880983. The reversal of 6115880900 is 90885116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440261 + ... + 453939.

It is an arithmetic number, because the mean of its divisors is an integer number (195924960).

Almost surely, 2^6115880900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6115880900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

6115880900 is an abundant number, since it is smaller than the sum of its proper divisors (7990716220).

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

6115880900 is a wasteful number, since it uses less digits than its factorization.

6115880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 6115880900 is about 78204.0977187257. The cubic root of 6115880900 is about 1828.7443883725.

The spelling of 6115880900 in words is "six billion, one hundred fifteen million, eight hundred eighty thousand, nine hundred".