52400936432000 has 512 divisors, whose sum is σ = 146586708253440. Its totient is φ = 18483683328000.

The previous prime is 52400936431913. The next prime is 52400936432017. The reversal of 52400936432000 is 23463900425.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4080745580 + ... + 4080758420.

Almost surely, 2^{52400936432000} is an apocalyptic number.

52400936432000 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 52400936432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73293354126720).

52400936432000 is an abundant number, since it is smaller than the sum of its proper divisors (94185771821440).

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

52400936432000 is a wasteful number, since it uses less digits than its factorization.

52400936432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13759 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 52400936432000 in words is "fifty-two trillion, four hundred billion, nine hundred thirty-six million, four hundred thirty-two thousand".