52214729600 has 192 divisors, whose sum is σ = 141515942400. Its totient is φ = 18878822400.

The previous prime is 52214729569. The next prime is 52214729647. The reversal of 52214729600 is 692741225.

It is a super-3 number, since 3×52214729600³ (a number of 33 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 23 ways as a sum of consecutive naturals, for example, 6296657 + ... + 6304943.

It is an arithmetic number, because the mean of its divisors is an integer number (737062200).

Almost surely, 2^52214729600 is an apocalyptic number.

52214729600 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 52214729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70757971200).

52214729600 is an abundant number, since it is smaller than the sum of its proper divisors (89301212800).

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

52214729600 is a wasteful number, since it uses less digits than its factorization.

52214729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 52214729600 in words is "fifty-two billion, two hundred fourteen million, seven hundred twenty-nine thousand, six hundred".