11127688320 has 512 divisors, whose sum is σ = 42193728000. Its totient is φ = 2492743680.

The previous prime is 11127688303. The next prime is 11127688337. The reversal of 11127688320 is 2388672111.

It is an interprime number because it is at equal distance from previous prime (11127688303) and next prime (11127688337).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40172022 + ... + 40172298.

It is an arithmetic number, because the mean of its divisors is an integer number (82409625).

Almost surely, 2^11127688320 is an apocalyptic number.

11127688320 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 11127688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096864000).

11127688320 is an abundant number, since it is smaller than the sum of its proper divisors (31066039680).

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

11127688320 is an equidigital number, since it uses as much as digits as its factorization.

11127688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 11127688320 in words is "eleven billion, one hundred twenty-seven million, six hundred eighty-eight thousand, three hundred twenty".