11002113199800 has 288 divisors, whose sum is σ = 39338384838480. Its totient is φ = 2746057420800.

The previous prime is 11002113199799. The next prime is 11002113199807. The reversal of 11002113199800 is 899131120011.

It is a super-2 number, since 2×11002113199800² (a number of 27 digits) contains 22 as substring.

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 (11002113199807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4545379 + ... + 6531821.

Almost surely, 2^{11002113199800} is an apocalyptic number.

11002113199800 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 11002113199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669192419240).

11002113199800 is an abundant number, since it is smaller than the sum of its proper divisors (28336271638680).

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

11002113199800 is a wasteful number, since it uses less digits than its factorization.

11002113199800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986663 (or 1986651 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 11002113199800 in words is "eleven trillion, two billion, one hundred thirteen million, one hundred ninety-nine thousand, eight hundred".