53085888000000 has 1456 divisors, whose sum is σ = 203134199848960. Its totient is φ = 13685760000000.

The previous prime is 53085887999999. The next prime is 53085888000029. The reversal of 53085888000000 is 88858035.

It is a super-2 number, since 2×53085888000000² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53085888000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53567999505 + ... + 53568000495.

Almost surely, 2^{53085888000000} is an apocalyptic number.

53085888000000 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 53085888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101567099924480).

53085888000000 is an abundant number, since it is smaller than the sum of its proper divisors (150048311848960).

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

53085888000000 is an frugal number, since it uses more digits than its factorization.

53085888000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 53085888000000 in words is "fifty-three trillion, eighty-five billion, eight hundred eighty-eight million", and thus it is an aban number.