11525135200000 has 216 divisors, whose sum is σ = 29423524805136. Its totient is φ = 4502830080000.

The previous prime is 11525135199931. The next prime is 11525135200027. The reversal of 11525135200000 is 253152511.

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 23 ways as a sum of consecutive naturals, for example, 34232484 + ... + 34567516.

It is an arithmetic number, because the mean of its divisors is an integer number (136220022246).

Almost surely, 2^{11525135200000} is an apocalyptic number.

11525135200000 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 11525135200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711762402568).

11525135200000 is an abundant number, since it is smaller than the sum of its proper divisors (17898389605136).

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

11525135200000 is an frugal number, since it uses more digits than its factorization.

11525135200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335117 (or 335083 counting only the distinct ones).

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

Adding to 11525135200000 its reverse (253152511), we get a palindrome (11525388352511).

The spelling of 11525135200000 in words is "eleven trillion, five hundred twenty-five billion, one hundred thirty-five million, two hundred thousand".