53772827735 has 24 divisors (see below), whose sum is σ = 71629131168. Its totient is φ = 38720264000.

The previous prime is 53772827707. The next prime is 53772827777.

53772827735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53772827735 - 2¹⁸ = 53772565591 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 378899 + ... + 501108.

It is an arithmetic number, because the mean of its divisors is an integer number (2984547132).

Almost surely, 2^53772827735 is an apocalyptic number.

53772827735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53772827735 is a deficient number, since it is larger than the sum of its proper divisors (17856303433).

53772827735 is a wasteful number, since it uses less digits than its factorization.

53772827735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880135 (or 880124 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 56.

The spelling of 53772827735 in words is "fifty-three billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, seven hundred thirty-five".