11368295640 has 192 divisors, whose sum is σ = 40350623040. Its totient is φ = 2758855680.

The previous prime is 11368295633. The next prime is 11368295647. The reversal of 11368295640 is 4659286311.

11368295640 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 82 + 9 + 564 + 0 = 666.

11368295640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11368295633) and next prime (11368295647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11368295647) 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 47 ways as a sum of consecutive naturals, for example, 315174 + ... + 349386.

It is an arithmetic number, because the mean of its divisors is an integer number (210159495).

Almost surely, 2^11368295640 is an apocalyptic number.

11368295640 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 11368295640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175311520).

11368295640 is an abundant number, since it is smaller than the sum of its proper divisors (28982327400).

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

11368295640 is a wasteful number, since it uses less digits than its factorization.

11368295640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314 (or 34307 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11368295640 in words is "eleven billion, three hundred sixty-eight million, two hundred ninety-five thousand, six hundred forty".