52401882240 has 192 divisors, whose sum is σ = 181172759040. Its totient is φ = 13956655104.

The previous prime is 52401882229. The next prime is 52401882263. The reversal of 52401882240 is 4228810425.

52401882240 is a `hidden beast` number, since 5 + 2 + 401 + 8 + 8 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 52401882195 and 52401882204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5080929 + ... + 5091231.

It is an arithmetic number, because the mean of its divisors is an integer number (943608120).

Almost surely, 2^52401882240 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 52401882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90586379520).

52401882240 is an abundant number, since it is smaller than the sum of its proper divisors (128770876800).

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

52401882240 is a wasteful number, since it uses less digits than its factorization.

52401882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 52401882240 in words is "fifty-two billion, four hundred one million, eight hundred eighty-two thousand, two hundred forty".