11258195328 has 384 divisors, whose sum is σ = 36389152800. Its totient is φ = 3323658240.

The previous prime is 11258195323. The next prime is 11258195341. The reversal of 11258195328 is 82359185211.

11258195328 is a `hidden beast` number, since 1 + 12 + 581 + 9 + 53 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11258195323) 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, 24421018 + ... + 24421478.

Almost surely, 2^11258195328 is an apocalyptic number.

11258195328 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 11258195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194576400).

11258195328 is an abundant number, since it is smaller than the sum of its proper divisors (25130957472).

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

11258195328 is a wasteful number, since it uses less digits than its factorization.

11258195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 11258195328 in words is "eleven billion, two hundred fifty-eight million, one hundred ninety-five thousand, three hundred twenty-eight".