11126239488 has 864 divisors, whose sum is σ = 43610784000. Its totient is φ = 2779951104.

The previous prime is 11126239477. The next prime is 11126239493. The reversal of 11126239488 is 88493262111.

11126239488 is a `hidden beast` number, since 1 + 1 + 12 + 623 + 9 + 4 + 8 + 8 = 666.

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

It is a super-5 number, since 5×11126239488⁵ (a number of 51 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585591543 + ... + 585591561.

Almost surely, 2^11126239488 is an apocalyptic number.

11126239488 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 11126239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805392000).

11126239488 is an abundant number, since it is smaller than the sum of its proper divisors (32484544512).

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

11126239488 is an equidigital number, since it uses as much as digits as its factorization.

11126239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11126239488 in words is "eleven billion, one hundred twenty-six million, two hundred thirty-nine thousand, four hundred eighty-eight".