11061719040 has 416 divisors, whose sum is σ = 37366686720. Its totient is φ = 2791047168.

The previous prime is 11061719033. The next prime is 11061719051. The reversal of 11061719040 is 4091716011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11061718989 and 11061719007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140021721 + ... + 140021799.

Almost surely, 2^11061719040 is an apocalyptic number.

11061719040 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 11061719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683343360).

11061719040 is an abundant number, since it is smaller than the sum of its proper divisors (26304967680).

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

11061719040 is an equidigital number, since it uses as much as digits as its factorization.

11061719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 11061719040 in words is "eleven billion, sixty-one million, seven hundred nineteen thousand, forty".