11061279129600 has 2040 divisors, whose sum is σ = 47984778529600. Its totient is φ = 2528292372480.

The previous prime is 11061279129577. The next prime is 11061279129601. The reversal of 11061279129600 is 692197216011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11061279129600 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 1 + 27 + 9 + 12 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11061279129601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1580182732797 + ... + 1580182732803.

Almost surely, 2^{11061279129600} is an apocalyptic number.

11061279129600 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 11061279129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992389264800).

11061279129600 is an abundant number, since it is smaller than the sum of its proper divisors (36923499400000).

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

11061279129600 is an frugal number, since it uses more digits than its factorization.

11061279129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11061279129600 in words is "eleven trillion, sixty-one billion, two hundred seventy-nine million, one hundred twenty-nine thousand, six hundred".