52126768512 has 320 divisors, whose sum is σ = 190930740000. Its totient is φ = 13747470336.

The previous prime is 52126768511. The next prime is 52126768513. The reversal of 52126768512 is 21586762125.

52126768512 is a `hidden beast` number, since 5 + 2 + 12 + 67 + 68 + 512 = 666.

52126768512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52126768511) and next prime (52126768513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52126768511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 915864 + ... + 971112.

Almost surely, 2^52126768512 is an apocalyptic number.

52126768512 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 52126768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95465370000).

52126768512 is an abundant number, since it is smaller than the sum of its proper divisors (138803971488).

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

52126768512 is a wasteful number, since it uses less digits than its factorization.

52126768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55295 (or 55274 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 52126768512 in words is "fifty-two billion, one hundred twenty-six million, seven hundred sixty-eight thousand, five hundred twelve".