55261412175204 has 567 divisors, whose sum is σ = 154964284675291. Its totient is φ = 17234526556800.

The previous prime is 55261412175199. The next prime is 55261412175253. The reversal of 55261412175204 is 40257121416255.

The square root of 55261412175204 is 7433802.

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

55261412175204 is a `hidden beast` number, since 5 + 5 + 2 + 61 + 41 + 21 + 7 + 520 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18158694735204 + 37102717440000 = 4261302^2 + 6091200^2 .

It is a super-3 number, since 3×55261412175204³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55261412175204.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 547142694754 + ... + 547142694854.

Almost surely, 2^{55261412175204} is an apocalyptic number.

55261412175204 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55261412175204 is the 7433802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55261412175204

55261412175204 is an abundant number, since it is smaller than the sum of its proper divisors (99702872500087).

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

55261412175204 is an equidigital number, since it uses as much as digits as its factorization.

55261412175204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55261412175204 in words is "fifty-five trillion, two hundred sixty-one billion, four hundred twelve million, one hundred seventy-five thousand, two hundred four".