10753340740512 has 144 divisors (see below), whose sum is σ = 28461191619168. Its totient is φ = 3554912471040.

The previous prime is 10753340740487. The next prime is 10753340740517. The reversal of 10753340740512 is 21504704335701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753340740517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9013696588 + ... + 9013697780.

It is an arithmetic number, because the mean of its divisors is an integer number (197647164022).

Almost surely, 2^{10753340740512} is an apocalyptic number.

10753340740512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753340740512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230595809584).

10753340740512 is an abundant number, since it is smaller than the sum of its proper divisors (17707850878656).

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

10753340740512 is an equidigital number, since it uses as much as digits as its factorization.

10753340740512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 10753340740512 in words is "ten trillion, seven hundred fifty-three billion, three hundred forty million, seven hundred forty thousand, five hundred twelve".