54106344107757 has 12 divisors (see below), whose sum is σ = 78363135260124. Its totient is φ = 35974191254400.

The previous prime is 54106344107747. The next prime is 54106344107789. The reversal of 54106344107757 is 75770144360145.

54106344107757 is a `hidden beast` number, since 5 + 4 + 106 + 3 + 4 + 410 + 77 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15868025273961 + 38238318833796 = 3983469^2 + 6183714^2 .

It is not a de Polignac number, because 54106344107757 - 2¹⁶ = 54106344042221 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106344107707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8058731244 + ... + 8058737957.

It is an arithmetic number, because the mean of its divisors is an integer number (6530261271677).

Almost surely, 2^{54106344107757} is an apocalyptic number.

It is an amenable number.

54106344107757 is a deficient number, since it is larger than the sum of its proper divisors (24256791152367).

54106344107757 is a wasteful number, since it uses less digits than its factorization.

54106344107757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117469580 (or 16117469577 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 54106344107757 in words is "fifty-four trillion, one hundred six billion, three hundred forty-four million, one hundred seven thousand, seven hundred fifty-seven".