11103398183520 has 672 divisors, whose sum is σ = 41440469978880. Its totient is φ = 2802304926720.

The previous prime is 11103398183519. The next prime is 11103398183531. The reversal of 11103398183520 is 2538189330111.

11103398183520 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 33 + 98 + 1 + 8 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 3162458565 + ... + 3162462075.

It is an arithmetic number, because the mean of its divisors is an integer number (61667366040).

Almost surely, 2^{11103398183520} is an apocalyptic number.

11103398183520 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 11103398183520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20720234989440).

11103398183520 is an abundant number, since it is smaller than the sum of its proper divisors (30337071795360).

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

11103398183520 is a wasteful number, since it uses less digits than its factorization.

11103398183520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11103398183520 in words is "eleven trillion, one hundred three billion, three hundred ninety-eight million, one hundred eighty-three thousand, five hundred twenty".