11380363572240 has 640 divisors, whose sum is σ = 43012941995520. Its totient is φ = 2748655337472.

The previous prime is 11380363572211. The next prime is 11380363572241. The reversal of 11380363572240 is 4227536308311.

11380363572240 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 3 + 635 + 7 + 2 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11380363572241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483497752 + ... + 483521288.

It is an arithmetic number, because the mean of its divisors is an integer number (67207721868).

Almost surely, 2^{11380363572240} is an apocalyptic number.

11380363572240 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 11380363572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506470997760).

11380363572240 is an abundant number, since it is smaller than the sum of its proper divisors (31632578423280).

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

11380363572240 is a wasteful number, since it uses less digits than its factorization.

11380363572240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23896 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 11380363572240 in words is "eleven trillion, three hundred eighty billion, three hundred sixty-three million, five hundred seventy-two thousand, two hundred forty".