11359748649600 has 2304 divisors, whose sum is σ = 48936212881920. Its totient is φ = 2480516628480.

The previous prime is 11359748649589. The next prime is 11359748649619. The reversal of 11359748649600 is 694684795311.

11359748649600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 97 + 486 + 4 + 9 + 60 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10686498669 + ... + 10686499731.

It is an arithmetic number, because the mean of its divisors is an integer number (21239675730).

Almost surely, 2^{11359748649600} is an apocalyptic number.

11359748649600 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 11359748649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24468106440960).

11359748649600 is an abundant number, since it is smaller than the sum of its proper divisors (37576464232320).

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

11359748649600 is a wasteful number, since it uses less digits than its factorization.

11359748649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 11359748649600 in words is "eleven trillion, three hundred fifty-nine billion, seven hundred forty-eight million, six hundred forty-nine thousand, six hundred".