54129627578832 has 160 divisors (see below), whose sum is σ = 159650518379520. Its totient is φ = 15682381332480.

The previous prime is 54129627578773. The next prime is 54129627578837. The reversal of 54129627578832 is 23887572692145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54129627578837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37098657 + ... + 38530112.

It is an arithmetic number, because the mean of its divisors is an integer number (997815739872).

Almost surely, 2^{54129627578832} is an apocalyptic number.

54129627578832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54129627578832 is an abundant number, since it is smaller than the sum of its proper divisors (105520890800688).

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

54129627578832 is a wasteful number, since it uses less digits than its factorization.

54129627578832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75628861 (or 75628855 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 69.

The spelling of 54129627578832 in words is "fifty-four trillion, one hundred twenty-nine billion, six hundred twenty-seven million, five hundred seventy-eight thousand, eight hundred thirty-two".