11258271400000 has 168 divisors, whose sum is σ = 29393697432960. Its totient is φ = 4266290880000.

The previous prime is 11258271399989. The next prime is 11258271400001. The reversal of 11258271400000 is 417285211.

It is not an unprimeable number, because it can be changed into a prime (11258271400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2318649 + ... + 5281351.

It is an arithmetic number, because the mean of its divisors is an integer number (174962484720).

Almost surely, 2^{11258271400000} is an apocalyptic number.

11258271400000 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 11258271400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696848716480).

11258271400000 is an abundant number, since it is smaller than the sum of its proper divisors (18135426032960).

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

11258271400000 is an frugal number, since it uses more digits than its factorization.

11258271400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962759 (or 2962729 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

Adding to 11258271400000 its reverse (417285211), we get a palindrome (11258688685211).

The spelling of 11258271400000 in words is "eleven trillion, two hundred fifty-eight billion, two hundred seventy-one million, four hundred thousand".