53086221505800 has 2304 divisors, whose sum is σ = 225778834944000. Its totient is φ = 10908187729920.

The previous prime is 53086221505799. The next prime is 53086221505829. The reversal of 53086221505800 is 850512268035.

53086221505800 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 62 + 2 + 1 + 5 + 0 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82049801077 + ... + 82049801723.

It is an arithmetic number, because the mean of its divisors is an integer number (97994286000).

Almost surely, 2^{53086221505800} is an apocalyptic number.

53086221505800 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 53086221505800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112889417472000).

53086221505800 is an abundant number, since it is smaller than the sum of its proper divisors (172692613438200).

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

53086221505800 is a wasteful number, since it uses less digits than its factorization.

53086221505800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 53086221505800 in words is "fifty-three trillion, eighty-six billion, two hundred twenty-one million, five hundred five thousand, eight hundred".