11640401026176 has 512 divisors, whose sum is σ = 36661092894720. Its totient is φ = 3238322503680.

The previous prime is 11640401026171. The next prime is 11640401026211. The reversal of 11640401026176 is 67162010404611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11640401026171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360401260 + ... + 360433556.

It is an arithmetic number, because the mean of its divisors is an integer number (71603697060).

Almost surely, 2^{11640401026176} is an apocalyptic number.

11640401026176 is a gapful number since it is divisible by the number (16) 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 11640401026176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330546447360).

11640401026176 is an abundant number, since it is smaller than the sum of its proper divisors (25020691868544).

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

11640401026176 is a wasteful number, since it uses less digits than its factorization.

11640401026176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32512 (or 32500 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 11640401026176 in words is "eleven trillion, six hundred forty billion, four hundred one million, twenty-six thousand, one hundred seventy-six".