11204638986240 has 2496 divisors, whose sum is σ = 48514414924800. Its totient is φ = 2444015960064.

The previous prime is 11204638986221. The next prime is 11204638986253. The reversal of 11204638986240 is 4268983640211.

11204638986240 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 6 + 3 + 8 + 9 + 8 + 624 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68740116399 + ... + 68740116561.

Almost surely, 2^{11204638986240} is an apocalyptic number.

11204638986240 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 11204638986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257207462400).

11204638986240 is an abundant number, since it is smaller than the sum of its proper divisors (37309775938560).

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

11204638986240 is a wasteful number, since it uses less digits than its factorization.

11204638986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11204638986240 in words is "eleven trillion, two hundred four billion, six hundred thirty-eight million, nine hundred eighty-six thousand, two hundred forty".