52101461286684 has 576 divisors, whose sum is σ = 144876205393920. Its totient is φ = 15744399390720.

The previous prime is 52101461286629. The next prime is 52101461286689. The reversal of 52101461286684 is 48668216410125.

52101461286684 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 14 + 612 + 8 + 6 + 6 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52101461286684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52101461286689) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47668308042 + ... + 47668309134.

It is an arithmetic number, because the mean of its divisors is an integer number (251521189920).

Almost surely, 2^{52101461286684} 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 52101461286684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72438102696960).

52101461286684 is an abundant number, since it is smaller than the sum of its proper divisors (92774744107236).

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

52101461286684 is a wasteful number, since it uses less digits than its factorization.

52101461286684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52101461286684 in words is "fifty-two trillion, one hundred one billion, four hundred sixty-one million, two hundred eighty-six thousand, six hundred eighty-four".