11061940123080 has 1024 divisors, whose sum is σ = 46703443968000. Its totient is φ = 2262187699200.

The previous prime is 11061940123067. The next prime is 11061940123093. The reversal of 11061940123080 is 8032104916011.

11061940123080 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 19 + 401 + 230 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11061940123067) and next prime (11061940123093).

It is a super-3 number, since 3×11061940123080³ (a number of 40 digits) contains 333 as substring.

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 255 ways as a sum of consecutive naturals, for example, 2174548297 + ... + 2174553383.

It is an arithmetic number, because the mean of its divisors is an integer number (45608832000).

Almost surely, 2^{11061940123080} is an apocalyptic number.

11061940123080 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 11061940123080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351721984000).

11061940123080 is an abundant number, since it is smaller than the sum of its proper divisors (35641503844920).

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

11061940123080 is a wasteful number, since it uses less digits than its factorization.

11061940123080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11061940123080 in words is "eleven trillion, sixty-one billion, nine hundred forty million, one hundred twenty-three thousand, eighty".