6111378000 has 1080 divisors, whose sum is σ = 27542596536. Its totient is φ = 1257984000.

The previous prime is 6111377989. The next prime is 6111378019. The reversal of 6111378000 is 8731116.

It can be written as a sum of positive squares in 12 ways, for example, as 6050350656 + 61027344 = 77784^2 + 7812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 149057980 + ... + 149058020.

Almost surely, 2^6111378000 is an apocalyptic number.

6111378000 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 6111378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771298268).

6111378000 is an abundant number, since it is smaller than the sum of its proper divisors (21431218536).

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

6111378000 is a wasteful number, since it uses less digits than its factorization.

6111378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 6111378000 is about 78175.3030054889. The cubic root of 6111378000 is about 1828.2954655857.

The spelling of 6111378000 in words is "six billion, one hundred eleven million, three hundred seventy-eight thousand".