53521316761320 has 256 divisors, whose sum is σ = 179681826816000. Its totient is φ = 14170299107328.

The previous prime is 53521316761249. The next prime is 53521316761361. The reversal of 53521316761320 is 2316761312535.

53521316761320 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 1 + 3 + 1 + 6 + 7 + 613 + 20 = 666.

53521316761320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216743844 + ... + 216990636.

It is an arithmetic number, because the mean of its divisors is an integer number (701882136000).

Almost surely, 2^{53521316761320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53521316761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89840913408000).

53521316761320 is an abundant number, since it is smaller than the sum of its proper divisors (126160510054680).

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

53521316761320 is a wasteful number, since it uses less digits than its factorization.

53521316761320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248249 (or 248239 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53521316761320 in words is "fifty-three trillion, five hundred twenty-one billion, three hundred sixteen million, seven hundred sixty-one thousand, three hundred twenty".