51777185472792 has 192 divisors, whose sum is σ = 154095817075200. Its totient is φ = 15609700304640.

The previous prime is 51777185472763. The next prime is 51777185472797. The reversal of 51777185472792 is 29727458177715.

51777185472792 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 7 + 1 + 8 + 547 + 2 + 79 + 2 = 666.

51777185472792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51777185472792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51777185472797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7014063 + ... + 12359265.

It is an arithmetic number, because the mean of its divisors is an integer number (802582380600).

Almost surely, 2^{51777185472792} is an apocalyptic number.

51777185472792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51777185472792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77047908537600).

51777185472792 is an abundant number, since it is smaller than the sum of its proper divisors (102318631602408).

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

51777185472792 is a wasteful number, since it uses less digits than its factorization.

51777185472792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345438 (or 5345431 counting only the distinct ones).

The product of its digits is 484041600, while the sum is 72.

The spelling of 51777185472792 in words is "fifty-one trillion, seven hundred seventy-seven billion, one hundred eighty-five million, four hundred seventy-two thousand, seven hundred ninety-two".