52971212800 has 624 divisors, whose sum is σ = 155619039744. Its totient is φ = 17694720000.

The previous prime is 52971212783. The next prime is 52971212803. The reversal of 52971212800 is 821217925.

52971212800 = 337³ + 338³ + ... + 688³.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 52971212800.

It is not an unprimeable number, because it can be changed into a prime (52971212803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1291980780 + ... + 1291980820.

Almost surely, 2^52971212800 is an apocalyptic number.

52971212800 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 52971212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77809519872).

52971212800 is an abundant number, since it is smaller than the sum of its proper divisors (102647826944).

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

52971212800 is a wasteful number, since it uses less digits than its factorization.

52971212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 52971212800 in words is "fifty-two billion, nine hundred seventy-one million, two hundred twelve thousand, eight hundred".