52845672971520 has 1728 divisors, whose sum is σ = 218893197519360. Its totient is φ = 11602250956800.

The previous prime is 52845672971479. The next prime is 52845672971561. The reversal of 52845672971520 is 2517927654825.

It is a happy number.

52845672971520 is a `hidden beast` number, since 5 + 2 + 8 + 45 + 67 + 2 + 9 + 7 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (52845672971479) and next prime (52845672971561).

It is a super-3 number, since 3×52845672971520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26784425254 + ... + 26784427226.

It is an arithmetic number, because the mean of its divisors is an integer number (126674304120).

Almost surely, 2^{52845672971520} 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 52845672971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109446598759680).

52845672971520 is an abundant number, since it is smaller than the sum of its proper divisors (166047524547840).

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

52845672971520 is a wasteful number, since it uses less digits than its factorization.

52845672971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 52845672971520 in words is "fifty-two trillion, eight hundred forty-five billion, six hundred seventy-two million, nine hundred seventy-one thousand, five hundred twenty".