10746272452720 has 160 divisors (see below), whose sum is σ = 29003179392000. Its totient is φ = 3626612656128.

The previous prime is 10746272452693. The next prime is 10746272452793. The reversal of 10746272452720 is 2725427264701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48252181 + ... + 48474379.

It is an arithmetic number, because the mean of its divisors is an integer number (181269871200).

Almost surely, 2^{10746272452720} is an apocalyptic number.

10746272452720 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 10746272452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14501589696000).

10746272452720 is an abundant number, since it is smaller than the sum of its proper divisors (18256906939280).

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

10746272452720 is a wasteful number, since it uses less digits than its factorization.

10746272452720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223575 (or 223569 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 10746272452720 in words is "ten trillion, seven hundred forty-six billion, two hundred seventy-two million, four hundred fifty-two thousand, seven hundred twenty".