52084394535420 has 192 divisors, whose sum is σ = 174559435344000. Its totient is φ = 12816773240832.

The previous prime is 52084394535419. The next prime is 52084394535427. The reversal of 52084394535420 is 2453549348025.

52084394535420 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 4 + 3 + 94 + 5 + 3 + 542 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52084394535427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21371146 + ... + 23683214.

It is an arithmetic number, because the mean of its divisors is an integer number (909163725750).

Almost surely, 2^{52084394535420} 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 52084394535420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87279717672000).

52084394535420 is an abundant number, since it is smaller than the sum of its proper divisors (122475040808580).

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

52084394535420 is a wasteful number, since it uses less digits than its factorization.

52084394535420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315309 (or 2315301 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 52084394535420 in words is "fifty-two trillion, eighty-four billion, three hundred ninety-four million, five hundred thirty-five thousand, four hundred twenty".