53220032640000 has 1760 divisors, whose sum is σ = 203877348364800. Its totient is φ = 13872881664000.

The previous prime is 53220032639999. The next prime is 53220032640011. The reversal of 53220032640000 is 4623002235.

53220032640000 is a `hidden beast` number, since 5 + 3 + 220 + 0 + 32 + 6 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65784959596 + ... + 65784960404.

It is an arithmetic number, because the mean of its divisors is an integer number (115839402480).

Almost surely, 2^{53220032640000} is an apocalyptic number.

53220032640000 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 53220032640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101938674182400).

53220032640000 is an abundant number, since it is smaller than the sum of its proper divisors (150657315724800).

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

53220032640000 is an frugal number, since it uses more digits than its factorization.

53220032640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 53220032640000 its reverse (4623002235), we get a palindrome (53224655642235).

The spelling of 53220032640000 in words is "fifty-three trillion, two hundred twenty billion, thirty-two million, six hundred forty thousand".