11765440512 has 560 divisors, whose sum is σ = 42818608800. Its totient is φ = 3142582272.

The previous prime is 11765440499. The next prime is 11765440517. The reversal of 11765440512 is 21504456711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11765440517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78962614 + ... + 78962762.

Almost surely, 2^11765440512 is an apocalyptic number.

11765440512 is a gapful number since it is divisible by the number (12) 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 11765440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409304400).

11765440512 is an abundant number, since it is smaller than the sum of its proper divisors (31053168288).

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

11765440512 is an equidigital number, since it uses as much as digits as its factorization.

11765440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11765440512 in words is "eleven billion, seven hundred sixty-five million, four hundred forty thousand, five hundred twelve".