20705046877350 has 1536 divisors, whose sum is σ = 69250567680000. Its totient is φ = 4496228352000.

The previous prime is 20705046877297. The next prime is 20705046877357. The reversal of 20705046877350 is 5377864050702.

It is a happy number.

20705046877350 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 504 + 6 + 87 + 7 + 3 + 50 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20705046877357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 46113689926 + ... + 46113690374.

It is an arithmetic number, because the mean of its divisors is an integer number (45085005000).

Almost surely, 2^{20705046877350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20705046877350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34625283840000).

20705046877350 is an abundant number, since it is smaller than the sum of its proper divisors (48545520802650).

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

20705046877350 is a wasteful number, since it uses less digits than its factorization.

20705046877350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 20705046877350 in words is "twenty trillion, seven hundred five billion, forty-six million, eight hundred seventy-seven thousand, three hundred fifty".