11156205795840 has 480 divisors, whose sum is σ = 44421179362560. Its totient is φ = 2534714376192.

The previous prime is 11156205795809. The next prime is 11156205796009. The reversal of 11156205795840 is 4859750265111.

11156205795840 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 6 + 2 + 0 + 57 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11156205795840² (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 47 ways as a sum of consecutive naturals, for example, 26726656 + ... + 27140864.

It is an arithmetic number, because the mean of its divisors is an integer number (92544123672).

Almost surely, 2^{11156205795840} is an apocalyptic number.

11156205795840 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 11156205795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210589681280).

11156205795840 is an abundant number, since it is smaller than the sum of its proper divisors (33264973566720).

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

11156205795840 is a wasteful number, since it uses less digits than its factorization.

11156205795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414412 (or 414393 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 11156205795840 in words is "eleven trillion, one hundred fifty-six billion, two hundred five million, seven hundred ninety-five thousand, eight hundred forty".