55350090756 has 81 divisors (see below), whose sum is σ = 141569831221. Its totient is φ = 18234056064.

The previous prime is 55350090743. The next prime is 55350090791. The reversal of 55350090756 is 65709005355.

The square root of 55350090756 is 235266.

It is a perfect power (a square), and thus also a powerful number.

55350090756 is a `hidden beast` number, since 5 + 5 + 3 + 500 + 90 + 7 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 975312900 + 54374777856 = 31230^2 + 233184^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 159510175 + ... + 159510521.

Almost surely, 2^55350090756 is an apocalyptic number.

55350090756 is the 235266-th square number.

It is an amenable number.

55350090756 is an abundant number, since it is smaller than the sum of its proper divisors (86219740465).

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

55350090756 is a wasteful number, since it uses less digits than its factorization.

55350090756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 45.

The spelling of 55350090756 in words is "fifty-five billion, three hundred fifty million, ninety thousand, seven hundred fifty-six".