1080105351264 has 72 divisors (see below), whose sum is σ = 3117393672120. Its totient is φ = 354661452288.

The previous prime is 1080105351239. The next prime is 1080105351307. The reversal of 1080105351264 is 4621535010801.

1080105351264 is a `hidden beast` number, since 1 + 0 + 80 + 1 + 0 + 5 + 3 + 512 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27968509 + ... + 28007100.

It is an arithmetic number, because the mean of its divisors is an integer number (43297134335).

Almost surely, 2^{1080105351264} is an apocalyptic number.

It is an amenable number.

1080105351264 is an abundant number, since it is smaller than the sum of its proper divisors (2037288320856).

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

1080105351264 is a wasteful number, since it uses less digits than its factorization.

1080105351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55975692 (or 55975681 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1080105351264 in words is "one trillion, eighty billion, one hundred five million, three hundred fifty-one thousand, two hundred sixty-four".