53302761093120 has 2304 divisors, whose sum is σ = 221353606656000. Its totient is φ = 10936280678400.

The previous prime is 53302761093007. The next prime is 53302761093143. The reversal of 53302761093120 is 2139016720335.

It is a super-2 number, since 2×53302761093120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 123672299305 + ... + 123672299735.

It is an arithmetic number, because the mean of its divisors is an integer number (96073614000).

Almost surely, 2^{53302761093120} 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 53302761093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110676803328000).

53302761093120 is an abundant number, since it is smaller than the sum of its proper divisors (168050845562880).

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

53302761093120 is a wasteful number, since it uses less digits than its factorization.

53302761093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 53302761093120 in words is "fifty-three trillion, three hundred two billion, seven hundred sixty-one million, ninety-three thousand, one hundred twenty".