55268638066944 has 189 divisors, whose sum is σ = 165416020461993. Its totient is φ = 18421808818176.

The previous prime is 55268638066891. The next prime is 55268638066997. The reversal of 55268638066944 is 44966083686255.

The square root of 55268638066944 is 7434288.

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

55268638066944 is a `hidden beast` number, since 5 + 5 + 26 + 86 + 380 + 66 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55268638066891) and next prime (55268638066997).

It can be written as a sum of positive squares in only one way, i.e., 25073173465344 + 30195464601600 = 5007312^2 + 5495040^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3211603812 + ... + 3211621020.

Almost surely, 2^{55268638066944} is an apocalyptic number.

55268638066944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55268638066944 is the 7434288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55268638066944

55268638066944 is an abundant number, since it is smaller than the sum of its proper divisors (110147382395049).

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

55268638066944 is an frugal number, since it uses more digits than its factorization.

55268638066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452 (or 17214 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 55268638066944 in words is "fifty-five trillion, two hundred sixty-eight billion, six hundred thirty-eight million, sixty-six thousand, nine hundred forty-four".