11253523152000 has 128 divisors (see below), whose sum is σ = 37305429408000. Its totient is φ = 3000939494400.

The previous prime is 11253523151903. The next prime is 11253523152019. The reversal of 11253523152000 is 25132535211.

11253523152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117176200 + ... + 117272199.

It is an arithmetic number, because the mean of its divisors is an integer number (291448667250).

Almost surely, 2^{11253523152000} is an apocalyptic number.

11253523152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11253523152000 is an abundant number, since it is smaller than the sum of its proper divisors (26051906256000).

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

11253523152000 is an equidigital number, since it uses as much as digits as its factorization.

11253523152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234448431 (or 234448409 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11253523152000 its reverse (25132535211), we get a palindrome (11278655687211).

The spelling of 11253523152000 in words is "eleven trillion, two hundred fifty-three billion, five hundred twenty-three million, one hundred fifty-two thousand".