11617661035200 has 1344 divisors, whose sum is σ = 45612577751040. Its totient is φ = 2555879424000.

The previous prime is 11617661035153. The next prime is 11617661035207. The reversal of 11617661035200 is 253016671611.

It is not an unprimeable number, because it can be changed into a prime (11617661035207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9989389819 + ... + 9989390981.

Almost surely, 2^{11617661035200} is an apocalyptic number.

11617661035200 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 11617661035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806288875520).

11617661035200 is an abundant number, since it is smaller than the sum of its proper divisors (33994916715840).

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

11617661035200 is a wasteful number, since it uses less digits than its factorization.

11617661035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11617661035200 in words is "eleven trillion, six hundred seventeen billion, six hundred sixty-one million, thirty-five thousand, two hundred".