52293040128000 has 2880 divisors, whose sum is σ = 236852198489088. Its totient is φ = 11236854988800.

The previous prime is 52293040127987. The next prime is 52293040128137. The reversal of 52293040128000 is 82104039225.

It is a happy number.

52293040128000 is a `hidden beast` number, since 5 + 229 + 3 + 0 + 401 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59222015559 + ... + 59222016441.

Almost surely, 2^{52293040128000} is an apocalyptic number.

52293040128000 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 52293040128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118426099244544).

52293040128000 is an abundant number, since it is smaller than the sum of its proper divisors (184559158361088).

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

52293040128000 is an frugal number, since it uses more digits than its factorization.

52293040128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 52293040128000 in words is "fifty-two trillion, two hundred ninety-three billion, forty million, one hundred twenty-eight thousand".