54006205120263 has 64 divisors (see below), whose sum is σ = 88615002378240. Its totient is φ = 32231766520800.

The previous prime is 54006205120247. The next prime is 54006205120277. The reversal of 54006205120263 is 36202150260045.

54006205120263 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 620 + 5 + 1 + 2 + 0 + 26 + 3 = 666.

It is not a de Polignac number, because 54006205120263 - 2⁴ = 54006205120247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54006205120213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59465206 + ... + 60366572.

It is an arithmetic number, because the mean of its divisors is an integer number (1384609412160).

Almost surely, 2^{54006205120263} is an apocalyptic number.

54006205120263 is a deficient number, since it is larger than the sum of its proper divisors (34608797257977).

54006205120263 is a wasteful number, since it uses less digits than its factorization.

54006205120263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904465 (or 904459 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54006205120263 in words is "fifty-four trillion, six billion, two hundred five million, one hundred twenty thousand, two hundred sixty-three".