11950600136640 has 448 divisors, whose sum is σ = 43590106368000. Its totient is φ = 2743437496320.

The previous prime is 11950600136639. The next prime is 11950600136687. The reversal of 11950600136640 is 4663100605911.

It is a junction number, because it is equal to n+sod(n) for n = 11950600136592 and 11950600136601.

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, 509413231 + ... + 509436689.

Almost surely, 2^{11950600136640} is an apocalyptic number.

11950600136640 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 11950600136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795053184000).

11950600136640 is an abundant number, since it is smaller than the sum of its proper divisors (31639506231360).

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

11950600136640 is a wasteful number, since it uses less digits than its factorization.

11950600136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26048 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 11950600136640 in words is "eleven trillion, nine hundred fifty billion, six hundred million, one hundred thirty-six thousand, six hundred forty".