11353997135000 has 400 divisors, whose sum is σ = 29505368541000. Its totient is φ = 4094751024000.

The previous prime is 11353997134943. The next prime is 11353997135051. The reversal of 11353997135000 is 53179935311.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11353997135000 = 5590³ + 22360³ = 12805³ + 20995³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 264046444979 + ... + 264046445021.

Almost surely, 2^{11353997135000} is an apocalyptic number.

11353997135000 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 11353997135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752684270500).

11353997135000 is an abundant number, since it is smaller than the sum of its proper divisors (18151371406000).

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

11353997135000 is an frugal number, since it uses more digits than its factorization.

11353997135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 382725, while the sum is 47.

The spelling of 11353997135000 in words is "eleven trillion, three hundred fifty-three billion, nine hundred ninety-seven million, one hundred thirty-five thousand".