55394329600 has 99 divisors (see below), whose sum is σ = 137404267041. Its totient is φ = 22142668800.

The previous prime is 55394329583. The next prime is 55394329633. The reversal of 55394329600 is 692349355.

The square root of 55394329600 is 235360.

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

It can be written as a sum of positive squares in only one way, i.e., 19941958656 + 35452370944 = 141216^2 + 188288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37656865 + ... + 37658335.

Almost surely, 2^55394329600 is an apocalyptic number.

55394329600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55394329600 is the 235360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55394329600

55394329600 is an abundant number, since it is smaller than the sum of its proper divisors (82009937441).

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

55394329600 is an frugal number, since it uses more digits than its factorization.

55394329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 55394329600 in words is "fifty-five billion, three hundred ninety-four million, three hundred twenty-nine thousand, six hundred".