11589270009240 has 256 divisors, whose sum is σ = 43362441400320. Its totient is φ = 2407295485440.

The previous prime is 11589270009217. The next prime is 11589270009263. The reversal of 11589270009240 is 4290007298511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11589270009217) and next prime (11589270009263).

It is a super-2 number, since 2×11589270009240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11589270009240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25675987 + ... + 26123453.

It is an arithmetic number, because the mean of its divisors is an integer number (169384536720).

Almost surely, 2^{11589270009240} is an apocalyptic number.

11589270009240 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 11589270009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21681220700160).

11589270009240 is an abundant number, since it is smaller than the sum of its proper divisors (31773171391080).

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

11589270009240 is a wasteful number, since it uses less digits than its factorization.

11589270009240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450302 (or 450298 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11589270009240 in words is "eleven trillion, five hundred eighty-nine billion, two hundred seventy million, nine thousand, two hundred forty".