11313049540800 has 672 divisors, whose sum is σ = 45256909800960. Its totient is φ = 2415137587200.

The previous prime is 11313049540787. The next prime is 11313049540801. The reversal of 11313049540800 is 804594031311.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (11313049540801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74751606 + ... + 74902794.

Almost surely, 2^{11313049540800} is an apocalyptic number.

11313049540800 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 11313049540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628454900480).

11313049540800 is an abundant number, since it is smaller than the sum of its proper divisors (33943860260160).

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

11313049540800 is a wasteful number, since it uses less digits than its factorization.

11313049540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151369 (or 151354 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11313049540800 in words is "eleven trillion, three hundred thirteen billion, forty-nine million, five hundred forty thousand, eight hundred".