11271536640 has 864 divisors, whose sum is σ = 50205627360. Its totient is φ = 2378170368.

The previous prime is 11271536609. The next prime is 11271536657. The reversal of 11271536640 is 4663517211.

11271536640 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 11271536595 and 11271536604.

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, 867041274 + ... + 867041286.

It is an arithmetic number, because the mean of its divisors is an integer number (58108365).

Almost surely, 2^11271536640 is an apocalyptic number.

11271536640 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 11271536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102813680).

11271536640 is an abundant number, since it is smaller than the sum of its proper divisors (38934090720).

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

11271536640 is an frugal number, since it uses more digits than its factorization.

11271536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11271536640 in words is "eleven billion, two hundred seventy-one million, five hundred thirty-six thousand, six hundred forty".