11890146528 has 288 divisors, whose sum is σ = 39007332000. Its totient is φ = 3402989568.

The previous prime is 11890146497. The next prime is 11890146637. The reversal of 11890146528 is 82564109811.

It is a happy number.

11890146528 is a `hidden beast` number, since 1 + 1 + 89 + 0 + 1 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5663623 + ... + 5665721.

It is an arithmetic number, because the mean of its divisors is an integer number (135442125).

Almost surely, 2^11890146528 is an apocalyptic number.

11890146528 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 11890146528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503666000).

11890146528 is an abundant number, since it is smaller than the sum of its proper divisors (27117185472).

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

11890146528 is a wasteful number, since it uses less digits than its factorization.

11890146528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11890146528 in words is "eleven billion, eight hundred ninety million, one hundred forty-six thousand, five hundred twenty-eight".