52052550046640 has 320 divisors, whose sum is σ = 146021504025600. Its totient is φ = 17005963776000.

The previous prime is 52052550046589. The next prime is 52052550046691. The reversal of 52052550046640 is 4664005525025.

It is an interprime number because it is at equal distance from previous prime (52052550046589) and next prime (52052550046691).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 52052550046591 and 52052550046600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67789181 + ... + 68552739.

It is an arithmetic number, because the mean of its divisors is an integer number (456317200080).

Almost surely, 2^{52052550046640} 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 52052550046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73010752012800).

52052550046640 is an abundant number, since it is smaller than the sum of its proper divisors (93968953978960).

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

52052550046640 is a wasteful number, since it uses less digits than its factorization.

52052550046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763756 (or 763750 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 52052550046640 in words is "fifty-two trillion, fifty-two billion, five hundred fifty million, forty-six thousand, six hundred forty".