11152575616 has 384 divisors, whose sum is σ = 30670012800. Its totient is φ = 3985293312.

The previous prime is 11152575613. The next prime is 11152575619. The reversal of 11152575616 is 61657525111.

It is an interprime number because it is at equal distance from previous prime (11152575613) and next prime (11152575619).

It is not an unprimeable number, because it can be changed into a prime (11152575611) 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, 35631076 + ... + 35631388.

It is an arithmetic number, because the mean of its divisors is an integer number (79869825).

Almost surely, 2^11152575616 is an apocalyptic number.

11152575616 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 11152575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335006400).

11152575616 is an abundant number, since it is smaller than the sum of its proper divisors (19517437184).

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

11152575616 is a wasteful number, since it uses less digits than its factorization.

11152575616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its digits is 63000, while the sum is 40.

The spelling of 11152575616 in words is "eleven billion, one hundred fifty-two million, five hundred seventy-five thousand, six hundred sixteen".