20771296946064 has 120 divisors (see below), whose sum is σ = 69931768395840. Its totient is φ = 5622305935104.

The previous prime is 20771296946063. The next prime is 20771296946123. The reversal of 20771296946064 is 46064969217702.

It is a happy number.

20771296946064 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 12 + 9 + 6 + 9 + 4 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20771296945992 and 20771296946010.

It is not an unprimeable number, because it can be changed into a prime (20771296946063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542255727 + ... + 542294030.

It is an arithmetic number, because the mean of its divisors is an integer number (582764736632).

Almost surely, 2^{20771296946064} is an apocalyptic number.

20771296946064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20771296946064 is an abundant number, since it is smaller than the sum of its proper divisors (49160471449776).

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

20771296946064 is a wasteful number, since it uses less digits than its factorization.

20771296946064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084549797 (or 1084549788 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 20771296946064 in words is "twenty trillion, seven hundred seventy-one billion, two hundred ninety-six million, nine hundred forty-six thousand, sixty-four".