53945888854935 has 128 divisors (see below), whose sum is σ = 108725346662400. Its totient is φ = 22187225088000.

The previous prime is 53945888854919. The next prime is 53945888854999.

53945888854935 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53945888854935 - 2⁴ = 53945888854919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265055091 + ... + 265258539.

It is an arithmetic number, because the mean of its divisors is an integer number (849416770800).

Almost surely, 2^{53945888854935} is an apocalyptic number.

53945888854935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53945888854935 is an abundant number, since it is smaller than the sum of its proper divisors (54779457807465).

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

53945888854935 is a wasteful number, since it uses less digits than its factorization.

53945888854935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205849.

The product of its digits is 29859840000, while the sum is 84.

The spelling of 53945888854935 in words is "fifty-three trillion, nine hundred forty-five billion, eight hundred eighty-eight million, eight hundred fifty-four thousand, nine hundred thirty-five".