55132909977600 has 2520 divisors, whose sum is σ = 252425135180960. Its totient is φ = 11626705059840.

The previous prime is 55132909977581. The next prime is 55132909977631. The reversal of 55132909977600 is 677990923155.

55132909977600 is a `hidden beast` number, since 5 + 5 + 13 + 2 + 9 + 0 + 9 + 9 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 167 ways as a sum of consecutive naturals, for example, 27172453386 + ... + 27172455414.

Almost surely, 2^{55132909977600} is an apocalyptic number.

55132909977600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55132909977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126212567590480).

55132909977600 is an abundant number, since it is smaller than the sum of its proper divisors (197292225203360).

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

55132909977600 is an equidigital number, since it uses as much as digits as its factorization.

55132909977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 55132909977600 in words is "fifty-five trillion, one hundred thirty-two billion, nine hundred nine million, nine hundred seventy-seven thousand, six hundred".