10731756676096 has 99 divisors (see below), whose sum is σ = 22431367253323. Its totient is φ = 5131426150400.

The previous prime is 10731756676061. The next prime is 10731756676097. The reversal of 10731756676096 is 69067665713701.

The square root of 10731756676096 is 3275936.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (10731756676097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2411086671 + ... + 2411091121.

Almost surely, 2^{10731756676096} is an apocalyptic number.

10731756676096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10731756676096 is the 3275936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10731756676096

10731756676096 is an abundant number, since it is smaller than the sum of its proper divisors (11699610577227).

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

10731756676096 is an frugal number, since it uses more digits than its factorization.

10731756676096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8968 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 64.

Multiplying 10731756676096 by its sum of digits (64), we get a square (686832427270144 = 26207488²).

10731756676096 divided by its sum of digits (64) gives a square (167683698064 = 409492²).

The spelling of 10731756676096 in words is "ten trillion, seven hundred thirty-one billion, seven hundred fifty-six million, six hundred seventy-six thousand, ninety-six".