11611782786240 has 560 divisors, whose sum is σ = 50837123168832. Its totient is φ = 2449958068224.

The previous prime is 11611782786203. The next prime is 11611782786251. The reversal of 11611782786240 is 4268728711611.

It is a happy number.

11611782786240 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 7 + 8 + 2 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102739 + ... + 4820178.

Almost surely, 2^{11611782786240} is an apocalyptic number.

11611782786240 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 11611782786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418561584416).

11611782786240 is an abundant number, since it is smaller than the sum of its proper divisors (39225340382592).

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

11611782786240 is a wasteful number, since it uses less digits than its factorization.

11611782786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922966 (or 4922947 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 11611782786240 in words is "eleven trillion, six hundred eleven billion, seven hundred eighty-two million, seven hundred eighty-six thousand, two hundred forty".