6112777140990 has 512 divisors, whose sum is σ = 18661519134720. Its totient is φ = 1413548236800.

The previous prime is 6112777140941. The next prime is 6112777141019. The reversal of 6112777140990 is 990417772116.

It is a happy number.

6112777140990 is a `hidden beast` number, since 6 + 1 + 12 + 77 + 71 + 409 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 439350274 + ... + 439364186.

It is an arithmetic number, because the mean of its divisors is an integer number (36448279560).

Almost surely, 2^{6112777140990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6112777140990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330759567360).

6112777140990 is an abundant number, since it is smaller than the sum of its proper divisors (12548741993730).

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

6112777140990 is a wasteful number, since it uses less digits than its factorization.

6112777140990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14097 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 6112777140990 in words is "six trillion, one hundred twelve billion, seven hundred seventy-seven million, one hundred forty thousand, nine hundred ninety".