52339629772800 has 780 divisors, whose sum is σ = 194183383030560. Its totient is φ = 13935290941440.

The previous prime is 52339629772783. The next prime is 52339629772819. The reversal of 52339629772800 is 827792693325.

52339629772800 is a `hidden beast` number, since 5 + 2 + 339 + 6 + 297 + 7 + 2 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×52339629772800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5665070581 + ... + 5665079819.

Almost surely, 2^{52339629772800} is an apocalyptic number.

52339629772800 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 52339629772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97091691515280).

52339629772800 is an abundant number, since it is smaller than the sum of its proper divisors (141843753257760).

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

52339629772800 is an equidigital number, since it uses as much as digits as its factorization.

52339629772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 52339629772800 in words is "fifty-two trillion, three hundred thirty-nine billion, six hundred twenty-nine million, seven hundred seventy-two thousand, eight hundred".