11271794688 has 702 divisors, whose sum is σ = 43166504472. Its totient is φ = 2773647360.

The previous prime is 11271794671. The next prime is 11271794689. The reversal of 11271794688 is 88649717211.

11271794688 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 179 + 468 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1354752) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271794689) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 593252343 + ... + 593252361.

Almost surely, 2^11271794688 is an apocalyptic number.

11271794688 is a gapful number since it is divisible by the number (18) 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 11271794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583252236).

11271794688 is an abundant number, since it is smaller than the sum of its proper divisors (31894709784).

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

11271794688 is a wasteful number, since it uses less digits than its factorization.

11271794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 11271794688 in words is "eleven billion, two hundred seventy-one million, seven hundred ninety-four thousand, six hundred eighty-eight".