20277722431764 has 180 divisors, whose sum is σ = 63653845368960. Its totient is φ = 5606743393440.

The previous prime is 20277722431763. The next prime is 20277722431787. The reversal of 20277722431764 is 46713422777202.

20277722431764 is a `hidden beast` number, since 2 + 0 + 2 + 77 + 72 + 2 + 431 + 76 + 4 = 666.

It is a super-2 number, since 2×20277722431764² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20277722431764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20277722431763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20108754 + ... + 21093065.

It is an arithmetic number, because the mean of its divisors is an integer number (353632474272).

Almost surely, 2^{20277722431764} is an apocalyptic number.

It is an amenable number.

20277722431764 is an abundant number, since it is smaller than the sum of its proper divisors (43376122937196).

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

20277722431764 is a wasteful number, since it uses less digits than its factorization.

20277722431764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41201880 (or 41201862 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 20277722431764 in words is "twenty trillion, two hundred seventy-seven billion, seven hundred twenty-two million, four hundred thirty-one thousand, seven hundred sixty-four".