10744242100272 has 60 divisors (see below), whose sum is σ = 30082605305064. Its totient is φ = 3579788229120.

The previous prime is 10744242100219. The next prime is 10744242100279. The reversal of 10744242100272 is 27200124244701.

10744242100272 is a `hidden beast` number, since 1 + 0 + 7 + 44 + 242 + 100 + 272 = 666.

10744242100272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10744242100279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16617129 + ... + 17251592.

Almost surely, 2^{10744242100272} is an apocalyptic number.

10744242100272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10744242100272 is an abundant number, since it is smaller than the sum of its proper divisors (19338363204792).

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

10744242100272 is a wasteful number, since it uses less digits than its factorization.

10744242100272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33870938 (or 33870929 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 10744242100272 its reverse (27200124244701), we get a palindrome (37944366344973).

The spelling of 10744242100272 in words is "ten trillion, seven hundred forty-four billion, two hundred forty-two million, one hundred thousand, two hundred seventy-two".