10756631216760 has 384 divisors, whose sum is σ = 39631508582400. Its totient is φ = 2302420792320.

The previous prime is 10756631216717. The next prime is 10756631216833. The reversal of 10756631216760 is 6761213665701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8485161 + ... + 9670119.

It is an arithmetic number, because the mean of its divisors is an integer number (103207053600).

Almost surely, 2^{10756631216760} is an apocalyptic number.

10756631216760 is a gapful number since it is divisible by the number (10) 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 10756631216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815754291200).

10756631216760 is an abundant number, since it is smaller than the sum of its proper divisors (28874877365640).

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

10756631216760 is a wasteful number, since it uses less digits than its factorization.

10756631216760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185043 (or 1185016 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 10756631216760 in words is "ten trillion, seven hundred fifty-six billion, six hundred thirty-one million, two hundred sixteen thousand, seven hundred sixty".