11315011343200 has 72 divisors (see below), whose sum is σ = 29076601556520. Its totient is φ = 4287793766400.

The previous prime is 11315011343177. The next prime is 11315011343263. The reversal of 11315011343200 is 234311051311.

11315011343200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372189121 + ... + 372219520.

It is an arithmetic number, because the mean of its divisors is an integer number (403841688285).

Almost surely, 2^{11315011343200} is an apocalyptic number.

11315011343200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315011343200 is an abundant number, since it is smaller than the sum of its proper divisors (17761590213320).

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

11315011343200 is a wasteful number, since it uses less digits than its factorization.

11315011343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744408680 (or 744408667 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 11315011343200 its reverse (234311051311), we get a palindrome (11549322394511).

The spelling of 11315011343200 in words is "eleven trillion, three hundred fifteen billion, eleven million, three hundred forty-three thousand, two hundred".