52021091808000 has 4608 divisors, whose sum is σ = 244642664448000. Its totient is φ = 10612585267200.

The previous prime is 52021091807933. The next prime is 52021091808011. The reversal of 52021091808000 is 80819012025.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 511 ways as a sum of consecutive naturals, for example, 217661471881 + ... + 217661472119.

It is an arithmetic number, because the mean of its divisors is an integer number (53090856000).

Almost surely, 2^{52021091808000} is an apocalyptic number.

52021091808000 is a gapful number since it is divisible by the number (50) 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 52021091808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122321332224000).

52021091808000 is an abundant number, since it is smaller than the sum of its proper divisors (192621572640000).

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

52021091808000 is a wasteful number, since it uses less digits than its factorization.

52021091808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 52021091808000 in words is "fifty-two trillion, twenty-one billion, ninety-one million, eight hundred eight thousand".