53013272832000 has 2304 divisors, whose sum is σ = 211788761184000. Its totient is φ = 12674727936000.

The previous prime is 53013272831989. The next prime is 53013272832001. The reversal of 53013272832000 is 23827231035.

53013272832000 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 327 + 2 + 8 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (53013272832001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231499007886 + ... + 231499008114.

It is an arithmetic number, because the mean of its divisors is an integer number (91922205375).

Almost surely, 2^{53013272832000} is an apocalyptic number.

53013272832000 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 53013272832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105894380592000).

53013272832000 is an abundant number, since it is smaller than the sum of its proper divisors (158775488352000).

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

53013272832000 is a wasteful number, since it uses less digits than its factorization.

53013272832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 53013272832000 in words is "fifty-three trillion, thirteen billion, two hundred seventy-two million, eight hundred thirty-two thousand".