10949110774272 has 480 divisors, whose sum is σ = 34765735118400. Its totient is φ = 3289781698560.

The previous prime is 10949110774253. The next prime is 10949110774291. The reversal of 10949110774272 is 27247701194901.

10949110774272 is a `hidden beast` number, since 1 + 0 + 9 + 491 + 10 + 7 + 74 + 2 + 72 = 666.

10949110774272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10949110774253) and next prime (10949110774291).

It is a super-4 number, since 4×10949110774272⁴ (a number of 53 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6245926548 + ... + 6245928300.

It is an arithmetic number, because the mean of its divisors is an integer number (72428614830).

Almost surely, 2^{10949110774272} is an apocalyptic number.

10949110774272 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 10949110774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382867559200).

10949110774272 is an abundant number, since it is smaller than the sum of its proper divisors (23816624344128).

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

10949110774272 is a wasteful number, since it uses less digits than its factorization.

10949110774272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10949110774272 in words is "ten trillion, nine hundred forty-nine billion, one hundred ten million, seven hundred seventy-four thousand, two hundred seventy-two".