11100440252000 has 192 divisors, whose sum is σ = 30111698792448. Its totient is φ = 3987889600000.

The previous prime is 11100440251991. The next prime is 11100440252053. The reversal of 11100440252000 is 25204400111.

It is a happy number.

It is a super-3 number, since 3×11100440252000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2132225 + ... + 5171775.

It is an arithmetic number, because the mean of its divisors is an integer number (156831764544).

Almost surely, 2^{11100440252000} is an apocalyptic number.

11100440252000 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 11100440252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055849396224).

11100440252000 is an abundant number, since it is smaller than the sum of its proper divisors (19011258540448).

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

11100440252000 is a wasteful number, since it uses less digits than its factorization.

11100440252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039670 (or 3039652 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11100440252000 its reverse (25204400111), we get a palindrome (11125644652111).

The spelling of 11100440252000 in words is "eleven trillion, one hundred billion, four hundred forty million, two hundred fifty-two thousand".