54759188352 has 128 divisors (see below), whose sum is σ = 158768956800. Its totient is φ = 16584099840.

The previous prime is 54759188339. The next prime is 54759188369. The reversal of 54759188352 is 25388195745.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 54759188292 and 54759188301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11431974 + ... + 11436762.

It is an arithmetic number, because the mean of its divisors is an integer number (1240382475).

Almost surely, 2^54759188352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54759188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79384478400).

54759188352 is an abundant number, since it is smaller than the sum of its proper divisors (104009768448).

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

54759188352 is a wasteful number, since it uses less digits than its factorization.

54759188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7512 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 57.

The spelling of 54759188352 in words is "fifty-four billion, seven hundred fifty-nine million, one hundred eighty-eight thousand, three hundred fifty-two".