55505327431680 has 5376 divisors, whose sum is σ = 261628069478400. Its totient is φ = 11076328488960.

The previous prime is 55505327431597. The next prime is 55505327431691. The reversal of 55505327431680 is 8613472350555.

55505327431680 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 53 + 274 + 316 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 1180964413417 + ... + 1180964413463.

Almost surely, 2^{55505327431680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505327431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130814034739200).

55505327431680 is an abundant number, since it is smaller than the sum of its proper divisors (206122742046720).

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

55505327431680 is a wasteful number, since it uses less digits than its factorization.

55505327431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 55505327431680 in words is "fifty-five trillion, five hundred five billion, three hundred twenty-seven million, four hundred thirty-one thousand, six hundred eighty".