55171509120 has 768 divisors, whose sum is σ = 238130081280. Its totient is φ = 11459543040.

The previous prime is 55171509119. The next prime is 55171509121. The reversal of 55171509120 is 2190517155.

55171509120 is a `hidden beast` number, since 5 + 517 + 1 + 50 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55171509119) and next prime (55171509121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55171509121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35117935 + ... + 35119505.

It is an arithmetic number, because the mean of its divisors is an integer number (310065210).

Almost surely, 2^55171509120 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 55171509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119065040640).

55171509120 is an abundant number, since it is smaller than the sum of its proper divisors (182958572160).

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

55171509120 is a wasteful number, since it uses less digits than its factorization.

55171509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 55171509120 in words is "fifty-five billion, one hundred seventy-one million, five hundred nine thousand, one hundred twenty".