11271388902642 has 192 divisors, whose sum is σ = 29158361527680. Its totient is φ = 3213854392320.

The previous prime is 11271388902623. The next prime is 11271388902643. The reversal of 11271388902642 is 24620988317211.

11271388902642 is a `hidden beast` number, since 1 + 1 + 271 + 38 + 89 + 0 + 264 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11271388902643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554602293 + ... + 554622615.

It is an arithmetic number, because the mean of its divisors is an integer number (151866466290).

Almost surely, 2^{11271388902642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11271388902642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579180763840).

11271388902642 is an abundant number, since it is smaller than the sum of its proper divisors (17886972625038).

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

11271388902642 is a wasteful number, since it uses less digits than its factorization.

11271388902642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25349 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11271388902642 in words is "eleven trillion, two hundred seventy-one billion, three hundred eighty-eight million, nine hundred two thousand, six hundred forty-two".