20777262912 has 448 divisors, whose sum is σ = 74907648000. Its totient is φ = 5512126464.

The previous prime is 20777262899. The next prime is 20777262931. The reversal of 20777262912 is 21926277702.

20777262912 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 7 + 2 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20777262912² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16244289 + ... + 16245567.

Almost surely, 2^20777262912 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 20777262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37453824000).

20777262912 is an abundant number, since it is smaller than the sum of its proper divisors (54130385088).

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

20777262912 is a wasteful number, since it uses less digits than its factorization.

20777262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 20777262912 in words is "twenty billion, seven hundred seventy-seven million, two hundred sixty-two thousand, nine hundred twelve".