11517977088 has 450 divisors, whose sum is σ = 37735371333. Its totient is φ = 3496919040.

The previous prime is 11517977069. The next prime is 11517977129. The reversal of 11517977088 is 88077971511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10541539584 + 976437504 = 102672^2 + 31248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75888.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 44 ways as a sum of consecutive naturals, for example, 371547633 + ... + 371547663.

Almost surely, 2^11517977088 is an apocalyptic number.

11517977088 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 11517977088

11517977088 is an abundant number, since it is smaller than the sum of its proper divisors (26217394245).

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

11517977088 is an frugal number, since it uses more digits than its factorization.

11517977088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 54.

The spelling of 11517977088 in words is "eleven billion, five hundred seventeen million, nine hundred seventy-seven thousand, eighty-eight".