52170973344000 has 2304 divisors, whose sum is σ = 228013167083520. Its totient is φ = 11496038400000.

The previous prime is 52170973343999. The next prime is 52170973344043. The reversal of 52170973344000 is 44337907125.

52170973344000 is a `hidden beast` number, since 5 + 2 + 170 + 9 + 7 + 33 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86806943700 + ... + 86806944300.

Almost surely, 2^{52170973344000} is an apocalyptic number.

52170973344000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52170973344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114006583541760).

52170973344000 is an abundant number, since it is smaller than the sum of its proper divisors (175842193739520).

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

52170973344000 is a wasteful number, since it uses less digits than its factorization.

52170973344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 52170973344000 in words is "fifty-two trillion, one hundred seventy billion, nine hundred seventy-three million, three hundred forty-four thousand".