6111115920 has 480 divisors, whose sum is σ = 26594131200. Its totient is φ = 1221267456.

The previous prime is 6111115873. The next prime is 6111115937. The reversal of 6111115920 is 295111116.

6111115920 is a `hidden beast` number, since 61 + 1 + 1 + 11 + 592 + 0 = 666.

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, 1242426 + ... + 1247334.

It is an arithmetic number, because the mean of its divisors is an integer number (55404440).

Almost surely, 2^6111115920 is an apocalyptic number.

6111115920 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 6111115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297065600).

6111115920 is an abundant number, since it is smaller than the sum of its proper divisors (20483015280).

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

6111115920 is a wasteful number, since it uses less digits than its factorization.

6111115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The square root of 6111115920 is about 78173.6267548078. The cubic root of 6111115920 is about 1828.2693303712.

The spelling of 6111115920 in words is "six billion, one hundred eleven million, one hundred fifteen thousand, nine hundred twenty".