52429339771200 has 1008 divisors, whose sum is σ = 213861863928960. Its totient is φ = 11933631037440.

The previous prime is 52429339771169. The next prime is 52429339771297. The reversal of 52429339771200 is 217793392425.

52429339771200 is a `hidden beast` number, since 5 + 2 + 42 + 9 + 3 + 397 + 7 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 31451312767 + ... + 31451314433.

Almost surely, 2^{52429339771200} is an apocalyptic number.

52429339771200 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 52429339771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106930931964480).

52429339771200 is an abundant number, since it is smaller than the sum of its proper divisors (161432524157760).

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

52429339771200 is a wasteful number, since it uses less digits than its factorization.

52429339771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 52429339771200 in words is "fifty-two trillion, four hundred twenty-nine billion, three hundred thirty-nine million, seven hundred seventy-one thousand, two hundred".