53581946880000 has 2040 divisors, whose sum is σ = 226860434048160. Its totient is φ = 11120148480000.

The previous prime is 53581946879971. The next prime is 53581946880149. The reversal of 53581946880000 is 8864918535.

53581946880000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53581946880000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66232319596 + ... + 66232320404.

Almost surely, 2^{53581946880000} is an apocalyptic number.

53581946880000 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 53581946880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430217024080).

53581946880000 is an abundant number, since it is smaller than the sum of its proper divisors (173278487168160).

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

53581946880000 is an frugal number, since it uses more digits than its factorization.

53581946880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 53581946880000 in words is "fifty-three trillion, five hundred eighty-one billion, nine hundred forty-six million, eight hundred eighty thousand".