55585076691600 has 405 divisors, whose sum is σ = 194528405542107. Its totient is φ = 14698269066240.

The previous prime is 55585076691587. The next prime is 55585076691673. The reversal of 55585076691600 is 619667058555.

The square root of 55585076691600 is 7455540.

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

55585076691600 is a `hidden beast` number, since 5 + 5 + 5 + 8 + 507 + 6 + 69 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162173733264 + 55422902958336 = 402708^2 + 7444656^2 .

It is a super-2 number, since 2×55585076691600² (a number of 28 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 61284538347 + ... + 61284539253.

Almost surely, 2^{55585076691600} is an apocalyptic number.

55585076691600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55585076691600 is the 7455540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55585076691600

55585076691600 is an abundant number, since it is smaller than the sum of its proper divisors (138943328850507).

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

55585076691600 is an equidigital number, since it uses as much as digits as its factorization.

55585076691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 55585076691600 in words is "fifty-five trillion, five hundred eighty-five billion, seventy-six million, six hundred ninety-one thousand, six hundred".