52949668147200 has 4212 divisors, whose sum is σ = 232903345356864. Its totient is φ = 11470897152000.

The previous prime is 52949668147199. The next prime is 52949668147223. The reversal of 52949668147200 is 274186694925.

52949668147200 is a `hidden beast` number, since 5 + 2 + 9 + 496 + 6 + 81 + 47 + 20 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 999050342374 + ... + 999050342426.

Almost surely, 2^{52949668147200} is an apocalyptic number.

52949668147200 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 52949668147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116451672678432).

52949668147200 is an abundant number, since it is smaller than the sum of its proper divisors (179953677209664).

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

52949668147200 is a wasteful number, since it uses less digits than its factorization.

52949668147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 52949668147200 in words is "fifty-two trillion, nine hundred forty-nine billion, six hundred sixty-eight million, one hundred forty-seven thousand, two hundred".