53782028735 has 32 divisors (see below), whose sum is σ = 67081996800. Its totient is φ = 41344589440.

The previous prime is 53782028723. The next prime is 53782028777.

It is a happy number.

53782028735 is nontrivially palindromic in base 10.

53782028735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-53782028735 is a prime.

It is a super-2 number, since 2×53782028735² (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 49295540 + ... + 49296630.

It is an arithmetic number, because the mean of its divisors is an integer number (2096312400).

Almost surely, 2^53782028735 is an apocalyptic number.

53782028735 is a deficient number, since it is larger than the sum of its proper divisors (13299968065).

53782028735 is a wasteful number, since it uses less digits than its factorization.

53782028735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 53782028735 in words is "fifty-three billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred thirty-five".