54040626542688 has 96 divisors (see below), whose sum is σ = 150731900597376. Its totient is φ = 16894014056448.

The previous prime is 54040626542681. The next prime is 54040626542689. The reversal of 54040626542688 is 88624562604045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54040626542681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58041906 + ... + 58965617.

It is an arithmetic number, because the mean of its divisors is an integer number (1570123964556).

Almost surely, 2^{54040626542688} is an apocalyptic number.

It is an amenable number.

54040626542688 is an abundant number, since it is smaller than the sum of its proper divisors (96691274054688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54040626542688 is a wasteful number, since it uses less digits than its factorization.

54040626542688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117007836 (or 117007828 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 60.

The spelling of 54040626542688 in words is "fifty-four trillion, forty billion, six hundred twenty-six million, five hundred forty-two thousand, six hundred eighty-eight".