11577033216 has 480 divisors, whose sum is σ = 40547136960. Its totient is φ = 3292047360.

The previous prime is 11577033211. The next prime is 11577033227. The reversal of 11577033216 is 61233077511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11577033211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54867351 + ... + 54867561.

It is an arithmetic number, because the mean of its divisors is an integer number (84473202).

Almost surely, 2^11577033216 is an apocalyptic number.

11577033216 is a gapful number since it is divisible by the number (16) 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 11577033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273568480).

11577033216 is an abundant number, since it is smaller than the sum of its proper divisors (28970103744).

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

11577033216 is an frugal number, since it uses more digits than its factorization.

11577033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 11577033216 in words is "eleven billion, five hundred seventy-seven million, thirty-three thousand, two hundred sixteen".