10758473052768 has 144 divisors (see below), whose sum is σ = 34967080905120. Its totient is φ = 3073669797888.

The previous prime is 10758473052727. The next prime is 10758473052773. The reversal of 10758473052768 is 86725037485701.

It is a happy number.

10758473052768 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 8 + 47 + 3 + 0 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36481846 + ... + 36775562.

It is an arithmetic number, because the mean of its divisors is an integer number (242826950730).

Almost surely, 2^{10758473052768} is an apocalyptic number.

10758473052768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10758473052768 is an abundant number, since it is smaller than the sum of its proper divisors (24208607852352).

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

10758473052768 is a wasteful number, since it uses less digits than its factorization.

10758473052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311909 (or 311898 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 10758473052768 in words is "ten trillion, seven hundred fifty-eight billion, four hundred seventy-three million, fifty-two thousand, seven hundred sixty-eight".