55105471575 has 288 divisors, whose sum is σ = 129276725760. Its totient is φ = 21767961600.

The previous prime is 55105471453. The next prime is 55105471579. The reversal of 55105471575 is 57517450155.

55105471575 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 5 + 4 + 71 + 575 = 666.

It is not a de Polignac number, because 55105471575 - 2¹¹ = 55105469527 is a prime.

It is a super-2 number, since 2×55105471575² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55105471575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105471579) 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 287 ways as a sum of consecutive naturals, for example, 33661657 + ... + 33663293.

It is an arithmetic number, because the mean of its divisors is an integer number (448877520).

Almost surely, 2^55105471575 is an apocalyptic number.

55105471575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55105471575 is an abundant number, since it is smaller than the sum of its proper divisors (74171254185).

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

55105471575 is a wasteful number, since it uses less digits than its factorization.

55105471575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 612500, while the sum is 45.

The spelling of 55105471575 in words is "fifty-five billion, one hundred five million, four hundred seventy-one thousand, five hundred seventy-five".