52742662963200 has 1350 divisors, whose sum is σ = 227296628410236. Its totient is φ = 12055094231040.

The previous prime is 52742662963163. The next prime is 52742662963267. The reversal of 52742662963200 is 236926624725.

52742662963200 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 2 + 6 + 629 + 6 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1625686179 + ... + 1625718621.

Almost surely, 2^{52742662963200} is an apocalyptic number.

52742662963200 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 52742662963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113648314205118).

52742662963200 is an abundant number, since it is smaller than the sum of its proper divisors (174553965447036).

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

52742662963200 is an equidigital number, since it uses as much as digits as its factorization.

52742662963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32507 (or 32460 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 52742662963200 in words is "fifty-two trillion, seven hundred forty-two billion, six hundred sixty-two million, nine hundred sixty-three thousand, two hundred".