11602128096 has 384 divisors, whose sum is σ = 38502051840. Its totient is φ = 3372171264.

The previous prime is 11602128037. The next prime is 11602128127. The reversal of 11602128096 is 69082120611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11602128096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25058361 + ... + 25058823.

It is an arithmetic number, because the mean of its divisors is an integer number (100265760).

Almost surely, 2^11602128096 is an apocalyptic number.

11602128096 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 11602128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19251025920).

11602128096 is an abundant number, since it is smaller than the sum of its proper divisors (26899923744).

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

11602128096 is a wasteful number, since it uses less digits than its factorization.

11602128096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11602128096 in words is "eleven billion, six hundred two million, one hundred twenty-eight thousand, ninety-six".