11139577488 has 800 divisors, whose sum is σ = 40834886400. Its totient is φ = 2890432512.

The previous prime is 11139577441. The next prime is 11139577523. The reversal of 11139577488 is 88477593111.

11139577488 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 95 + 77 + 488 = 666.

It is a super-2 number, since 2×11139577488² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125163748 + ... + 125163836.

It is an arithmetic number, because the mean of its divisors is an integer number (51043608).

Almost surely, 2^11139577488 is an apocalyptic number.

11139577488 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 11139577488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417443200).

11139577488 is an abundant number, since it is smaller than the sum of its proper divisors (29695308912).

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

11139577488 is a wasteful number, since it uses less digits than its factorization.

11139577488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 11139577488 in words is "eleven billion, one hundred thirty-nine million, five hundred seventy-seven thousand, four hundred eighty-eight".