11576234880 has 1280 divisors, whose sum is σ = 52606540800. Its totient is φ = 2364899328.

The previous prime is 11576234869. The next prime is 11576234893. The reversal of 11576234880 is 8843267511.

11576234880 is a `hidden beast` number, since 1 + 15 + 7 + 623 + 4 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×11576234880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 158578524 + ... + 158578596.

It is an arithmetic number, because the mean of its divisors is an integer number (41098860).

Almost surely, 2^11576234880 is an apocalyptic number.

11576234880 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 11576234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26303270400).

11576234880 is an abundant number, since it is smaller than the sum of its proper divisors (41030305920).

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

11576234880 is a wasteful number, since it uses less digits than its factorization.

11576234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11576234880 in words is "eleven billion, five hundred seventy-six million, two hundred thirty-four thousand, eight hundred eighty".