11023979990400 has 1344 divisors, whose sum is σ = 46559844666720. Its totient is φ = 2553852395520.

The previous prime is 11023979990399. The next prime is 11023979990473. The reversal of 11023979990400 is 409997932011.

It is a happy number.

11023979990400 is a `hidden beast` number, since 110 + 2 + 39 + 7 + 9 + 9 + 90 + 400 = 666.

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

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 167 ways as a sum of consecutive naturals, for example, 515538109 + ... + 515559491.

Almost surely, 2^{11023979990400} is an apocalyptic number.

11023979990400 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 11023979990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279922333360).

11023979990400 is an abundant number, since it is smaller than the sum of its proper divisors (35535864676320).

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

11023979990400 is a wasteful number, since it uses less digits than its factorization.

11023979990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21455 (or 21423 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 11023979990400 in words is "eleven trillion, twenty-three billion, nine hundred seventy-nine million, nine hundred ninety thousand, four hundred".