11788260032640 has 768 divisors, whose sum is σ = 49549652208000. Its totient is φ = 2356283768832.

The previous prime is 11788260032617. The next prime is 11788260032671. The reversal of 11788260032640 is 4623006288711.

It is a super-2 number, since 2×11788260032640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11788260032640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22984116 + ... + 23491404.

Almost surely, 2^{11788260032640} is an apocalyptic number.

11788260032640 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 11788260032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774826104000).

11788260032640 is an abundant number, since it is smaller than the sum of its proper divisors (37761392175360).

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

11788260032640 is a wasteful number, since it uses less digits than its factorization.

11788260032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507357 (or 507338 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 11788260032640 in words is "eleven trillion, seven hundred eighty-eight billion, two hundred sixty million, thirty-two thousand, six hundred forty".