55581677017344 has 405 divisors, whose sum is σ = 173330651180379. Its totient is φ = 17713821312000.

The previous prime is 55581677017327. The next prime is 55581677017351. The reversal of 55581677017344 is 44371077618555.

It is a happy number.

The square root of 55581677017344 is 7455312.

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

55581677017344 is a `hidden beast` number, since 5 + 5 + 58 + 167 + 70 + 17 + 344 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24691992219 + ... + 24691994469.

Almost surely, 2^{55581677017344} is an apocalyptic number.

55581677017344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55581677017344 is the 7455312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55581677017344

55581677017344 is an abundant number, since it is smaller than the sum of its proper divisors (117748974163035).

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

55581677017344 is an frugal number, since it uses more digits than its factorization.

55581677017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 55581677017344 in words is "fifty-five trillion, five hundred eighty-one billion, six hundred seventy-seven million, seventeen thousand, three hundred forty-four".