10080534168288 has 96 divisors (see below), whose sum is σ = 29661749056800. Its totient is φ = 3330441934848.

The previous prime is 10080534168259. The next prime is 10080534168359. The reversal of 10080534168288 is 88286143508001.

10080534168288 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 534 + 1 + 6 + 8 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 51527523 + ... + 51722786.

It is an arithmetic number, because the mean of its divisors is an integer number (308976552675).

Almost surely, 2^{10080534168288} is an apocalyptic number.

10080534168288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10080534168288 is an abundant number, since it is smaller than the sum of its proper divisors (19581214888512).

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

10080534168288 is a wasteful number, since it uses less digits than its factorization.

10080534168288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103250441 (or 103250427 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 10080534168288 in words is "ten trillion, eighty billion, five hundred thirty-four million, one hundred sixty-eight thousand, two hundred eighty-eight".