51772688563680 has 384 divisors, whose sum is σ = 207102856181760. Its totient is φ = 11833065861120.

The previous prime is 51772688563619. The next prime is 51772688563703. The reversal of 51772688563680 is 8636588627715.

51772688563680 is a `hidden beast` number, since 5 + 177 + 268 + 85 + 63 + 68 + 0 = 666.

It is a super-2 number, since 2×51772688563680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51772688563599 and 51772688563608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662549572 + ... + 662627708.

It is an arithmetic number, because the mean of its divisors is an integer number (539330354640).

Almost surely, 2^{51772688563680} 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 51772688563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103551428090880).

51772688563680 is an abundant number, since it is smaller than the sum of its proper divisors (155330167618080).

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

51772688563680 is a wasteful number, since it uses less digits than its factorization.

51772688563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100079 (or 100065 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 51772688563680 in words is "fifty-one trillion, seven hundred seventy-two billion, six hundred eighty-eight million, five hundred sixty-three thousand, six hundred eighty".