52971952176000 has 2304 divisors, whose sum is σ = 225733322767680. Its totient is φ = 11800608768000.

The previous prime is 52971952175999. The next prime is 52971952176019. The reversal of 52971952176000 is 67125917925.

It is a happy number.

52971952176000 is a `hidden beast` number, since 5 + 2 + 9 + 7 + 1 + 9 + 5 + 21 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×52971952176000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115912367772 + ... + 115912368228.

Almost surely, 2^{52971952176000} is an apocalyptic number.

52971952176000 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 52971952176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112866661383840).

52971952176000 is an abundant number, since it is smaller than the sum of its proper divisors (172761370591680).

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

52971952176000 is a wasteful number, since it uses less digits than its factorization.

52971952176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 52971952176000 in words is "fifty-two trillion, nine hundred seventy-one billion, nine hundred fifty-two million, one hundred seventy-six thousand".