53985354816 has 112 divisors (see below), whose sum is σ = 150437088000. Its totient is φ = 17038582272.

The previous prime is 53985354809. The next prime is 53985354823. The reversal of 53985354816 is 61845358935.

It is an interprime number because it is at equal distance from previous prime (53985354809) and next prime (53985354823).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 9843211 + ... + 9848693.

Almost surely, 2^53985354816 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 53985354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75218544000).

53985354816 is an abundant number, since it is smaller than the sum of its proper divisors (96451733184).

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

53985354816 is a wasteful number, since it uses less digits than its factorization.

53985354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8206 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 57.

The spelling of 53985354816 in words is "fifty-three billion, nine hundred eighty-five million, three hundred fifty-four thousand, eight hundred sixteen".