52122601440 has 1728 divisors, whose sum is σ = 242252881920. Its totient is φ = 10416107520.

The previous prime is 52122601439. The next prime is 52122601451. The reversal of 52122601440 is 4410622125.

52122601440 is a `hidden beast` number, since 5 + 2 + 12 + 2 + 601 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 1108991497 + ... + 1108991543.

It is an arithmetic number, because the mean of its divisors is an integer number (140192640).

Almost surely, 2^52122601440 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 52122601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121126440960).

52122601440 is an abundant number, since it is smaller than the sum of its proper divisors (190130280480).

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

52122601440 is a wasteful number, since it uses less digits than its factorization.

52122601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 52122601440 in words is "fifty-two billion, one hundred twenty-two million, six hundred one thousand, four hundred forty".