52106242440 has 256 divisors, whose sum is σ = 183652761600. Its totient is φ = 11579065344.

The previous prime is 52106242417. The next prime is 52106242453. The reversal of 52106242440 is 4424260125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52106242398 and 52106242407.

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 63 ways as a sum of consecutive naturals, for example, 8051526 + ... + 8057994.

It is an arithmetic number, because the mean of its divisors is an integer number (717393600).

Almost surely, 2^52106242440 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 52106242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91826380800).

52106242440 is an abundant number, since it is smaller than the sum of its proper divisors (131546519160).

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

52106242440 is a wasteful number, since it uses less digits than its factorization.

52106242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 52106242440 in words is "fifty-two billion, one hundred six million, two hundred forty-two thousand, four hundred forty".