56145254165 has 96 divisors (see below), whose sum is σ = 92040119808. Its totient is φ = 31990464000.

The previous prime is 56145254131. The next prime is 56145254171.

56145254165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56145254165 - 2⁸ = 56145253909 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5665715 + ... + 5675615.

It is an arithmetic number, because the mean of its divisors is an integer number (958751248).

Almost surely, 2^56145254165 is an apocalyptic number.

56145254165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56145254165 is a deficient number, since it is larger than the sum of its proper divisors (35894865643).

56145254165 is a wasteful number, since it uses less digits than its factorization.

56145254165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10040 counting only the distinct ones).

The product of its digits is 720000, while the sum is 44.

The spelling of 56145254165 in words is "fifty-six billion, one hundred forty-five million, two hundred fifty-four thousand, one hundred sixty-five".