11262716640 has 864 divisors, whose sum is σ = 48759459840. Its totient is φ = 2351462400.

The previous prime is 11262716617. The next prime is 11262716681. The reversal of 11262716640 is 4661726211.

11262716640 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 7 + 1 + 6 + 640 = 666.

It is a super-2 number, since 2×11262716640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11262716595 and 11262716604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41559705 + ... + 41559975.

It is an arithmetic number, because the mean of its divisors is an integer number (56434560).

Almost surely, 2^11262716640 is an apocalyptic number.

11262716640 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 11262716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379729920).

11262716640 is an abundant number, since it is smaller than the sum of its proper divisors (37496743200).

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

11262716640 is a wasteful number, since it uses less digits than its factorization.

11262716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11262716640 in words is "eleven billion, two hundred sixty-two million, seven hundred sixteen thousand, six hundred forty".