11357840672640 has 2304 divisors, whose sum is σ = 51880065269760. Its totient is φ = 2236873605120.

The previous prime is 11357840672623. The next prime is 11357840672641. The reversal of 11357840672640 is 4627604875311.

11357840672640 is a `hidden beast` number, since 1 + 1 + 3 + 578 + 4 + 0 + 6 + 7 + 2 + 64 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357840672641) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 14250740722 + ... + 14250741518.

It is an arithmetic number, because the mean of its divisors is an integer number (22517389440).

Almost surely, 2^{11357840672640} is an apocalyptic number.

11357840672640 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 11357840672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940032634880).

11357840672640 is an abundant number, since it is smaller than the sum of its proper divisors (40522224597120).

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

11357840672640 is a wasteful number, since it uses less digits than its factorization.

11357840672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 11357840672640 in words is "eleven trillion, three hundred fifty-seven billion, eight hundred forty million, six hundred seventy-two thousand, six hundred forty".