11535250120000 has 140 divisors (see below), whose sum is σ = 28632460070500. Its totient is φ = 4609456128000.

The previous prime is 11535250119871. The next prime is 11535250120027. The reversal of 11535250120000 is 2105253511.

11535250120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 8064600350976 + 3470649769024 = 2839824^2 + 1862968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39735376 + ... + 40024624.

Almost surely, 2^{11535250120000} is an apocalyptic number.

11535250120000 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 11535250120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316230035250).

11535250120000 is an abundant number, since it is smaller than the sum of its proper divisors (17097209950500).

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

11535250120000 is an frugal number, since it uses more digits than its factorization.

11535250120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290278 (or 290253 counting only the distinct ones).

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

Adding to 11535250120000 its reverse (2105253511), we get a palindrome (11537355373511).

The spelling of 11535250120000 in words is "eleven trillion, five hundred thirty-five billion, two hundred fifty million, one hundred twenty thousand".