52056111877632 has 1920 divisors, whose sum is σ = 177208557926400. Its totient is φ = 15175996932096.

The previous prime is 52056111877631. The next prime is 52056111877723. The reversal of 52056111877632 is 23677811165025.

52056111877632 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 611 + 18 + 7 + 7 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52056111877631) 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 191 ways as a sum of consecutive naturals, for example, 217807999369 + ... + 217807999607.

It is an arithmetic number, because the mean of its divisors is an integer number (92296123920).

Almost surely, 2^{52056111877632} 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 52056111877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88604278963200).

52056111877632 is an abundant number, since it is smaller than the sum of its proper divisors (125152446048768).

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

52056111877632 is a wasteful number, since it uses less digits than its factorization.

52056111877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 52056111877632 in words is "fifty-two trillion, fifty-six billion, one hundred eleven million, eight hundred seventy-seven thousand, six hundred thirty-two".