11097440640 has 768 divisors, whose sum is σ = 46781280000. Its totient is φ = 2478366720.

The previous prime is 11097440639. The next prime is 11097440657. The reversal of 11097440640 is 4604479011.

11097440640 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 7 + 4 + 4 + 0 + 640 = 666.

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 = 11097440595 and 11097440604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239111 + ... + 22239609.

It is an arithmetic number, because the mean of its divisors is an integer number (60913125).

Almost surely, 2^11097440640 is an apocalyptic number.

11097440640 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 11097440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640000).

11097440640 is an abundant number, since it is smaller than the sum of its proper divisors (35683839360).

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

11097440640 is a wasteful number, since it uses less digits than its factorization.

11097440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

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

The spelling of 11097440640 in words is "eleven billion, ninety-seven million, four hundred forty thousand, six hundred forty".