52118881920 has 1024 divisors, whose sum is σ = 219732480000. Its totient is φ = 11430346752.

The previous prime is 52118881897. The next prime is 52118881921. The reversal of 52118881920 is 2918881125.

52118881920 is a `hidden beast` number, since 521 + 18 + 88 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52118881921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478154826 + ... + 478154934.

It is an arithmetic number, because the mean of its divisors is an integer number (214582500).

Almost surely, 2^52118881920 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 52118881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109866240000).

52118881920 is an abundant number, since it is smaller than the sum of its proper divisors (167613598080).

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

52118881920 is a wasteful number, since it uses less digits than its factorization.

52118881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 52118881920 in words is "fifty-two billion, one hundred eighteen million, eight hundred eighty-one thousand, nine hundred twenty".