52656782079300 has 288 divisors, whose sum is σ = 177689731296000. Its totient is φ = 12034625541120.

The previous prime is 52656782079289. The next prime is 52656782079301. The reversal of 52656782079300 is 397028765625.

52656782079300 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 (60).

It is not an unprimeable number, because it can be changed into a prime (52656782079301) 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 95 ways as a sum of consecutive naturals, for example, 1385941104 + ... + 1385979096.

Almost surely, 2^{52656782079300} is an apocalyptic number.

52656782079300 is a gapful number since it is divisible by the number (50) 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 52656782079300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88844865648000).

52656782079300 is an abundant number, since it is smaller than the sum of its proper divisors (125032949216700).

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

52656782079300 is a wasteful number, since it uses less digits than its factorization.

52656782079300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51500 (or 51479 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 52656782079300 in words is "fifty-two trillion, six hundred fifty-six billion, seven hundred eighty-two million, seventy-nine thousand, three hundred".