52734676363200 has 1680 divisors, whose sum is σ = 217124694442656. Its totient is φ = 12470066380800.

The previous prime is 52734676363153. The next prime is 52734676363211. The reversal of 52734676363200 is 236367643725.

52734676363200 is a `hidden beast` number, since 5 + 2 + 7 + 3 + 4 + 6 + 76 + 363 + 200 = 666.

It is a super-2 number, since 2×52734676363200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4419224434 + ... + 4419236366.

Almost surely, 2^{52734676363200} is an apocalyptic number.

52734676363200 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 52734676363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108562347221328).

52734676363200 is an abundant number, since it is smaller than the sum of its proper divisors (164390018079456).

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

52734676363200 is a wasteful number, since it uses less digits than its factorization.

52734676363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 52734676363200 in words is "fifty-two trillion, seven hundred thirty-four billion, six hundred seventy-six million, three hundred sixty-three thousand, two hundred".