11355417216000 has 4928 divisors, whose sum is σ = 53476961481216. Its totient is φ = 2364899328000.

The previous prime is 11355417215981. The next prime is 11355417216079. The reversal of 11355417216000 is 61271455311.

11355417216000 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 41 + 7 + 2 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 306903167982 + ... + 306903168018.

Almost surely, 2^{11355417216000} is an apocalyptic number.

11355417216000 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 11355417216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26738480740608).

11355417216000 is an abundant number, since it is smaller than the sum of its proper divisors (42121544265216).

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

11355417216000 is a wasteful number, since it uses less digits than its factorization.

11355417216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11355417216000 in words is "eleven trillion, three hundred fifty-five billion, four hundred seventeen million, two hundred sixteen thousand".