11127385840 has 80 divisors (see below), whose sum is σ = 27217231200. Its totient is φ = 4224582656.

The previous prime is 11127385817. The next prime is 11127385897. The reversal of 11127385840 is 4858372111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11127385840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11127385793 and 11127385802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96234 + ... + 177526.

It is an arithmetic number, because the mean of its divisors is an integer number (340215390).

Almost surely, 2^11127385840 is an apocalyptic number.

11127385840 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 11127385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608615600).

11127385840 is an abundant number, since it is smaller than the sum of its proper divisors (16089845360).

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

11127385840 is a wasteful number, since it uses less digits than its factorization.

11127385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81394 (or 81388 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 11127385840 in words is "eleven billion, one hundred twenty-seven million, three hundred eighty-five thousand, eight hundred forty".