11697013440 has 448 divisors, whose sum is σ = 48134016000. Its totient is φ = 2672925696.

The previous prime is 11697013417. The next prime is 11697013507. The reversal of 11697013440 is 4431079611.

11697013440 is a `hidden beast` number, since 116 + 97 + 0 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 11697013395 and 11697013404.

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 63 ways as a sum of consecutive naturals, for example, 2961547 + ... + 2965493.

It is an arithmetic number, because the mean of its divisors is an integer number (107442000).

Almost surely, 2^11697013440 is an apocalyptic number.

11697013440 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 11697013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067008000).

11697013440 is an abundant number, since it is smaller than the sum of its proper divisors (36437002560).

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

11697013440 is an equidigital number, since it uses as much as digits as its factorization.

11697013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11697013440 in words is "eleven billion, six hundred ninety-seven million, thirteen thousand, four hundred forty".