11250958530000 has 1600 divisors, whose sum is σ = 46123354202112. Its totient is φ = 2301911040000.

The previous prime is 11250958529971. The next prime is 11250958530011. The reversal of 11250958530000 is 3585905211.

11250958530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21594929740 + ... + 21594930260.

Almost surely, 2^{11250958530000} is an apocalyptic number.

11250958530000 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 11250958530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061677101056).

11250958530000 is an abundant number, since it is smaller than the sum of its proper divisors (34872395672112).

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

11250958530000 is a wasteful number, since it uses less digits than its factorization.

11250958530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 11250958530000 in words is "eleven trillion, two hundred fifty billion, nine hundred fifty-eight million, five hundred thirty thousand".