52918419415680 has 4096 divisors, whose sum is σ = 249395753779200. Its totient is φ = 10300450406400.

The previous prime is 52918419415651. The next prime is 52918419415681. The reversal of 52918419415680 is 8651491481925.

52918419415680 is a `hidden beast` number, since 5 + 2 + 9 + 18 + 4 + 19 + 41 + 568 + 0 = 666.

It is a super-2 number, since 2×52918419415680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52918419415681) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 188321777140 + ... + 188321777420.

It is an arithmetic number, because the mean of its divisors is an integer number (60887635200).

Almost surely, 2^{52918419415680} 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 52918419415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124697876889600).

52918419415680 is an abundant number, since it is smaller than the sum of its proper divisors (196477334363520).

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

52918419415680 is a wasteful number, since it uses less digits than its factorization.

52918419415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 52918419415680 in words is "fifty-two trillion, nine hundred eighteen billion, four hundred nineteen million, four hundred fifteen thousand, six hundred eighty".