11215626240 has 896 divisors, whose sum is σ = 47560504320. Its totient is φ = 2189426688.

The previous prime is 11215626239. The next prime is 11215626271. The reversal of 11215626240 is 4262651211.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11215626198 and 11215626207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190095331 + ... + 190095389.

It is an arithmetic number, because the mean of its divisors is an integer number (53080920).

Almost surely, 2^11215626240 is an apocalyptic number.

11215626240 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 11215626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780252160).

11215626240 is an abundant number, since it is smaller than the sum of its proper divisors (36344878080).

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

11215626240 is a wasteful number, since it uses less digits than its factorization.

11215626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11215626240 in words is "eleven billion, two hundred fifteen million, six hundred twenty-six thousand, two hundred forty".