10746753261216 has 96 divisors (see below), whose sum is σ = 33642010257408. Its totient is φ = 2937000887040.

The previous prime is 10746753261161. The next prime is 10746753261217. The reversal of 10746753261216 is 61216235764701.

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

It is not an unprimeable number, because it can be changed into a prime (10746753261217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 347640900 + ... + 347671811.

It is an arithmetic number, because the mean of its divisors is an integer number (350437606848).

Almost surely, 2^{10746753261216} is an apocalyptic number.

10746753261216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10746753261216 is an abundant number, since it is smaller than the sum of its proper divisors (22895256996192).

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

10746753261216 is a wasteful number, since it uses less digits than its factorization.

10746753261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695312754 (or 695312746 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 10746753261216 in words is "ten trillion, seven hundred forty-six billion, seven hundred fifty-three million, two hundred sixty-one thousand, two hundred sixteen".