11049272640 has 336 divisors, whose sum is σ = 45345096000. Its totient is φ = 2525451264.

The previous prime is 11049272609. The next prime is 11049272677. The reversal of 11049272640 is 4627294011.

It is a happy number.

11049272640 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 11049272595 and 11049272604.

It is a congruent number.

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, 410311 + ... + 436409.

Almost surely, 2^11049272640 is an apocalyptic number.

11049272640 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 11049272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22672548000).

11049272640 is an abundant number, since it is smaller than the sum of its proper divisors (34295823360).

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

11049272640 is a wasteful number, since it uses less digits than its factorization.

11049272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26139 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11049272640 in words is "eleven billion, forty-nine million, two hundred seventy-two thousand, six hundred forty".