11553010252000 has 192 divisors, whose sum is σ = 32448538362240. Its totient is φ = 3960093696000.

The previous prime is 11553010251997. The next prime is 11553010252009. The reversal of 11553010252000 is 25201035511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553010252009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123741336 + ... + 123834664.

It is an arithmetic number, because the mean of its divisors is an integer number (169002803970).

Almost surely, 2^{11553010252000} is an apocalyptic number.

11553010252000 is a gapful number since it is divisible by the number (10) 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 11553010252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224269181120).

11553010252000 is an abundant number, since it is smaller than the sum of its proper divisors (20895528110240).

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

11553010252000 is an equidigital number, since it uses as much as digits as its factorization.

11553010252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97782 (or 97764 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 11553010252000 its reverse (25201035511), we get a palindrome (11578211287511).

The spelling of 11553010252000 in words is "eleven trillion, five hundred fifty-three billion, ten million, two hundred fifty-two thousand".