11455253402250 has 256 divisors, whose sum is σ = 34301902602240. Its totient is φ = 2489501203200.

The previous prime is 11455253402213. The next prime is 11455253402267. The reversal of 11455253402250 is 5220435255411.

It is a junction number, because it is equal to n+sod(n) for n = 11455253402199 and 11455253402208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19881216 + ... + 20449284.

It is an arithmetic number, because the mean of its divisors is an integer number (133991807040).

Almost surely, 2^{11455253402250} is an apocalyptic number.

11455253402250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455253402250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17150951301120).

11455253402250 is an abundant number, since it is smaller than the sum of its proper divisors (22846649199990).

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

11455253402250 is a wasteful number, since it uses less digits than its factorization.

11455253402250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568286 (or 568276 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 11455253402250 its reverse (5220435255411), we get a palindrome (16675688657661).

The spelling of 11455253402250 in words is "eleven trillion, four hundred fifty-five billion, two hundred fifty-three million, four hundred two thousand, two hundred fifty".