55175105664 has 512 divisors, whose sum is σ = 193750387200. Its totient is φ = 15318097920.

The previous prime is 55175105663. The next prime is 55175105681. The reversal of 55175105664 is 46650157155.

It is a happy number.

55175105664 is a `hidden beast` number, since 5 + 5 + 1 + 75 + 10 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (55175105663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72503044 + ... + 72503804.

It is an arithmetic number, because the mean of its divisors is an integer number (378418725).

Almost surely, 2^55175105664 is an apocalyptic number.

55175105664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55175105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96875193600).

55175105664 is an abundant number, since it is smaller than the sum of its proper divisors (138575281536).

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

55175105664 is an frugal number, since it uses more digits than its factorization.

55175105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 55175105664 in words is "fifty-five billion, one hundred seventy-five million, one hundred five thousand, six hundred sixty-four".