54013879136 has 144 divisors (see below), whose sum is σ = 137872854000. Its totient is φ = 20640227328.

The previous prime is 54013879099. The next prime is 54013879151. The reversal of 54013879136 is 63197831045.

It is a happy number.

It is a super-2 number, since 2×54013879136² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 453140 + ... + 559788.

It is an arithmetic number, because the mean of its divisors is an integer number (957450375).

Almost surely, 2^54013879136 is an apocalyptic number.

54013879136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54013879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68936427000).

54013879136 is an abundant number, since it is smaller than the sum of its proper divisors (83858974864).

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

54013879136 is a wasteful number, since it uses less digits than its factorization.

54013879136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106709 (or 106694 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 54013879136 in words is "fifty-four billion, thirteen million, eight hundred seventy-nine thousand, one hundred thirty-six".