11001278860272 has 240 divisors, whose sum is σ = 31419169187328. Its totient is φ = 3592769011200.

The previous prime is 11001278860267. The next prime is 11001278860279. The reversal of 11001278860272 is 27206887210011.

11001278860272 is a `hidden beast` number, since 1 + 10 + 0 + 1 + 27 + 8 + 8 + 602 + 7 + 2 = 666.

It is a super-2 number, since 2×11001278860272² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001278860279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3036509053 + ... + 3036512675.

Almost surely, 2^{11001278860272} is an apocalyptic number.

11001278860272 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 11001278860272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709584593664).

11001278860272 is an abundant number, since it is smaller than the sum of its proper divisors (20417890327056).

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

11001278860272 is a wasteful number, since it uses less digits than its factorization.

11001278860272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11001278860272 in words is "eleven trillion, one billion, two hundred seventy-eight million, eight hundred sixty thousand, two hundred seventy-two".