52414921359360 has 3600 divisors, whose sum is σ = 234831268336896. Its totient is φ = 11124486438912.

The previous prime is 52414921359341. The next prime is 52414921359371. The reversal of 52414921359360 is 6395312941425.

52414921359360 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 49 + 2 + 1 + 3 + 593 + 6 + 0 = 666.

It is a super-2 number, since 2×52414921359360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52414921359297 and 52414921359306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 321563934639 + ... + 321563934801.

Almost surely, 2^{52414921359360} 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 52414921359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117415634168448).

52414921359360 is an abundant number, since it is smaller than the sum of its proper divisors (182416346977536).

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

52414921359360 is a wasteful number, since it uses less digits than its factorization.

52414921359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 52414921359360 in words is "fifty-two trillion, four hundred fourteen billion, nine hundred twenty-one million, three hundred fifty-nine thousand, three hundred sixty".