11006061155600 has 120 divisors (see below), whose sum is σ = 30230018012160. Its totient is φ = 3772193218560.

The previous prime is 11006061155519. The next prime is 11006061155611. The reversal of 11006061155600 is 655116060011.

It is a super-2 number, since 2×11006061155600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7378544 + ... + 8743856.

It is an arithmetic number, because the mean of its divisors is an integer number (251916816768).

Almost surely, 2^{11006061155600} is an apocalyptic number.

11006061155600 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 11006061155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115009006080).

11006061155600 is an abundant number, since it is smaller than the sum of its proper divisors (19223956856560).

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

11006061155600 is a wasteful number, since it uses less digits than its factorization.

11006061155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368217 (or 1368206 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 11006061155600 in words is "eleven trillion, six billion, sixty-one million, one hundred fifty-five thousand, six hundred".