11235808858752 has 384 divisors, whose sum is σ = 33366264447360. Its totient is φ = 3626519371776.

The previous prime is 11235808858721. The next prime is 11235808858783. The reversal of 11235808858752 is 25785880853211.

11235808858752 is a `hidden beast` number, since 1 + 12 + 35 + 8 + 0 + 8 + 8 + 587 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11235808858721) and next prime (11235808858783).

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

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11235808858752.

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, 12724584903 + ... + 12724585785.

It is an arithmetic number, because the mean of its divisors is an integer number (86891313665).

Almost surely, 2^{11235808858752} is an apocalyptic number.

11235808858752 is a gapful number since it is divisible by the number (12) 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 11235808858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683132223680).

11235808858752 is an abundant number, since it is smaller than the sum of its proper divisors (22130455588608).

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

11235808858752 is a wasteful number, since it uses less digits than its factorization.

11235808858752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 11235808858752 in words is "eleven trillion, two hundred thirty-five billion, eight hundred eight million, eight hundred fifty-eight thousand, seven hundred fifty-two".