11553775010000 has 200 divisors, whose sum is σ = 28081191492288. Its totient is φ = 4603648000000.

The previous prime is 11553775009993. The next prime is 11553775010021. The reversal of 11553775010000 is 1057735511.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3147308165 + ... + 3147311835.

Almost surely, 2^{11553775010000} is an apocalyptic number.

11553775010000 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 11553775010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040595746144).

11553775010000 is an abundant number, since it is smaller than the sum of its proper divisors (16527416482288).

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

11553775010000 is an equidigital number, since it uses as much as digits as its factorization.

11553775010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 18375, while the sum is 35.

The spelling of 11553775010000 in words is "eleven trillion, five hundred fifty-three billion, seven hundred seventy-five million, ten thousand".