11485698588 has 720 divisors, whose sum is σ = 41365447200. Its totient is φ = 2743372800.

The previous prime is 11485698541. The next prime is 11485698589. The reversal of 11485698588 is 88589658411.

11485698588 is a `hidden beast` number, since 1 + 1 + 48 + 5 + 6 + 9 + 8 + 588 = 666.

11485698588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (22118400) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11485698589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 113719738 + ... + 113719838.

It is an arithmetic number, because the mean of its divisors is an integer number (57452010).

Almost surely, 2^11485698588 is an apocalyptic number.

11485698588 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 11485698588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682723600).

11485698588 is an abundant number, since it is smaller than the sum of its proper divisors (29879748612).

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

11485698588 is a wasteful number, since it uses less digits than its factorization.

11485698588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

It can be divided in two parts, 114856 and 98588, that added together give a square (213444 = 462²).

The spelling of 11485698588 in words is "eleven billion, four hundred eighty-five million, six hundred ninety-eight thousand, five hundred eighty-eight".