55114735104 has 240 divisors, whose sum is σ = 186875632944. Its totient is φ = 15416524800.

The previous prime is 55114735069. The next prime is 55114735121. The reversal of 55114735104 is 40153741155.

55114735104 is a `hidden beast` number, since 5 + 511 + 4 + 7 + 35 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617124 + ... + 700764.

Almost surely, 2^55114735104 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 55114735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93437816472).

55114735104 is an abundant number, since it is smaller than the sum of its proper divisors (131760897840).

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

55114735104 is a wasteful number, since it uses less digits than its factorization.

55114735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83689 (or 83670 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55114735104 in words is "fifty-five billion, one hundred fourteen million, seven hundred thirty-five thousand, one hundred four".