20045077277112 has 384 divisors, whose sum is σ = 57678289643520. Its totient is φ = 6281194752000.

The previous prime is 20045077277111. The next prime is 20045077277117. The reversal of 20045077277112 is 21177277054002.

20045077277112 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 507 + 7 + 27 + 7 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20045077277111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11633822283 + ... + 11633824005.

It is an arithmetic number, because the mean of its divisors is an integer number (150203879280).

Almost surely, 2^{20045077277112} 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 20045077277112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28839144821760).

20045077277112 is an abundant number, since it is smaller than the sum of its proper divisors (37633212366408).

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

20045077277112 is a wasteful number, since it uses less digits than its factorization.

20045077277112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 20045077277112 in words is "twenty trillion, forty-five billion, seventy-seven million, two hundred seventy-seven thousand, one hundred twelve".