55756005120 has 216 divisors, whose sum is σ = 194717171376. Its totient is φ = 14728986624.

The previous prime is 55756005061. The next prime is 55756005139. The reversal of 55756005120 is 2150065755.

It is a happy number.

55756005120 is a `hidden beast` number, since 5 + 575 + 60 + 0 + 5 + 1 + 20 = 666.

It is a super-3 number, since 3×55756005120³ (a number of 33 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210024 + ... + 1255256.

It is an arithmetic number, because the mean of its divisors is an integer number (901468386).

Almost surely, 2^55756005120 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 55756005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97358585688).

55756005120 is an abundant number, since it is smaller than the sum of its proper divisors (138961166256).

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

55756005120 is a wasteful number, since it uses less digits than its factorization.

55756005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45367 (or 45350 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 55756005120 in words is "fifty-five billion, seven hundred fifty-six million, five thousand, one hundred twenty".