52351681536000 has 3360 divisors, whose sum is σ = 247906042997184. Its totient is φ = 10868981760000.

The previous prime is 52351681535987. The next prime is 52351681536019. The reversal of 52351681536000 is 63518615325.

52351681536000 is a `hidden beast` number, since 5 + 2 + 3 + 51 + 68 + 1 + 536 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44706815415 + ... + 44706816585.

Almost surely, 2^{52351681536000} is an apocalyptic number.

52351681536000 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 52351681536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123953021498592).

52351681536000 is an abundant number, since it is smaller than the sum of its proper divisors (195554361461184).

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

52351681536000 is a wasteful number, since it uses less digits than its factorization.

52351681536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 52351681536000 in words is "fifty-two trillion, three hundred fifty-one billion, six hundred eighty-one million, five hundred thirty-six thousand".