54959105880 has 896 divisors, whose sum is σ = 229666406400. Its totient is φ = 11549039616.

The previous prime is 54959105857. The next prime is 54959105933. The reversal of 54959105880 is 8850195945.

54959105880 is a `hidden beast` number, since 5 + 4 + 9 + 59 + 1 + 0 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 143496169 + ... + 143496551.

Almost surely, 2^54959105880 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 54959105880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114833203200).

54959105880 is an abundant number, since it is smaller than the sum of its proper divisors (174707300520).

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

54959105880 is a wasteful number, since it uses less digits than its factorization.

54959105880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 54959105880 in words is "fifty-four billion, nine hundred fifty-nine million, one hundred five thousand, eight hundred eighty".