20751779761713 has 640 divisors, whose sum is σ = 44794455552000. Its totient is φ = 9217665423360.

The previous prime is 20751779761709. The next prime is 20751779761733. The reversal of 20751779761713 is 31716797715702.

20751779761713 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 1 + 7 + 7 + 9 + 7 + 617 + 1 + 3 = 666.

It is not a de Polignac number, because 20751779761713 - 2² = 20751779761709 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20751779761733) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 20814221931 + ... + 20814222927.

It is an arithmetic number, because the mean of its divisors is an integer number (69991336800).

Almost surely, 2^{20751779761713} is an apocalyptic number.

It is an amenable number.

20751779761713 is an abundant number, since it is smaller than the sum of its proper divisors (24042675790287).

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

20751779761713 is a wasteful number, since it uses less digits than its factorization.

20751779761713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 27227340, while the sum is 63.

The spelling of 20751779761713 in words is "twenty trillion, seven hundred fifty-one billion, seven hundred seventy-nine million, seven hundred sixty-one thousand, seven hundred thirteen".