11156445026100 has 864 divisors, whose sum is σ = 40211057577600. Its totient is φ = 2562339225600.

The previous prime is 11156445026009. The next prime is 11156445026101. The reversal of 11156445026100 is 162054465111.

11156445026100 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 6 + 44 + 502 + 6 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11156445026101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3500608707 + ... + 3500611893.

It is an arithmetic number, because the mean of its divisors is an integer number (46540575900).

Almost surely, 2^{11156445026100} is an apocalyptic number.

11156445026100 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 11156445026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105528788800).

11156445026100 is an abundant number, since it is smaller than the sum of its proper divisors (29054612551500).

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

11156445026100 is a wasteful number, since it uses less digits than its factorization.

11156445026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11156445026100 in words is "eleven trillion, one hundred fifty-six billion, four hundred forty-five million, twenty-six thousand, one hundred".