53522130364416 has 1728 divisors, whose sum is σ = 194678238343680. Its totient is φ = 14631321600000.

The previous prime is 53522130364369. The next prime is 53522130364427. The reversal of 53522130364416 is 61446303122535.

53522130364416 is a `hidden beast` number, since 5 + 3 + 5 + 221 + 3 + 0 + 3 + 6 + 4 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76351112866 + ... + 76351113566.

It is an arithmetic number, because the mean of its divisors is an integer number (112661017560).

Almost surely, 2^{53522130364416} is an apocalyptic number.

53522130364416 is a gapful number since it is divisible by the number (56) 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 53522130364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97339119171840).

53522130364416 is an abundant number, since it is smaller than the sum of its proper divisors (141156107979264).

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

53522130364416 is a wasteful number, since it uses less digits than its factorization.

53522130364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 53522130364416 in words is "fifty-three trillion, five hundred twenty-two billion, one hundred thirty million, three hundred sixty-four thousand, four hundred sixteen".