11597070240 has 768 divisors, whose sum is σ = 48771072000. Its totient is φ = 2518179840.

The previous prime is 11597070187. The next prime is 11597070257. The reversal of 11597070240 is 4207079511.

It is a happy number.

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 = 11597070195 and 11597070204.

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 127 ways as a sum of consecutive naturals, for example, 83432091 + ... + 83432229.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 2^11597070240 is an apocalyptic number.

11597070240 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 11597070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536000).

11597070240 is an abundant number, since it is smaller than the sum of its proper divisors (37174001760).

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

11597070240 is a wasteful number, since it uses less digits than its factorization.

11597070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11597070240 in words is "eleven billion, five hundred ninety-seven million, seventy thousand, two hundred forty".