1115890288128 has 480 divisors, whose sum is σ = 4251424320000. Its totient is φ = 272790650880.

The previous prime is 1115890288103. The next prime is 1115890288129. The reversal of 1115890288128 is 8218820985111.

1115890288128 is a `hidden beast` number, since 1 + 1 + 158 + 90 + 288 + 128 = 666.

It is a super-2 number, since 2×1115890288128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115890288129) 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, 5939373 + ... + 6124371.

It is an arithmetic number, because the mean of its divisors is an integer number (8857134000).

Almost surely, 2^{1115890288128} is an apocalyptic number.

1115890288128 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 1115890288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125712160000).

1115890288128 is an abundant number, since it is smaller than the sum of its proper divisors (3135534031872).

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

1115890288128 is a wasteful number, since it uses less digits than its factorization.

1115890288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185058 (or 185039 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 54.

The spelling of 1115890288128 in words is "one trillion, one hundred fifteen billion, eight hundred ninety million, two hundred eighty-eight thousand, one hundred twenty-eight".