20777918412288 has 320 divisors, whose sum is σ = 58540893143040. Its totient is φ = 6535462821888.

The previous prime is 20777918412217. The next prime is 20777918412343. The reversal of 20777918412288 is 88221481977702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4418011345 + ... + 4418016047.

It is an arithmetic number, because the mean of its divisors is an integer number (182940291072).

Almost surely, 2^{20777918412288} 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 20777918412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29270446571520).

20777918412288 is an abundant number, since it is smaller than the sum of its proper divisors (37762974730752).

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

20777918412288 is a wasteful number, since it uses less digits than its factorization.

20777918412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 66.

The spelling of 20777918412288 in words is "twenty trillion, seven hundred seventy-seven billion, nine hundred eighteen million, four hundred twelve thousand, two hundred eighty-eight".