11771634082560 has 576 divisors, whose sum is σ = 44923526484480. Its totient is φ = 2593242480640.

The previous prime is 11771634082513. The next prime is 11771634082591. The reversal of 11771634082560 is 6528043617711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 20541679 + ... + 21106961.

It is an arithmetic number, because the mean of its divisors is an integer number (77992233480).

Almost surely, 2^{11771634082560} is an apocalyptic number.

11771634082560 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 11771634082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461763242240).

11771634082560 is an abundant number, since it is smaller than the sum of its proper divisors (33151892401920).

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

11771634082560 is a wasteful number, since it uses less digits than its factorization.

11771634082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565364 (or 565350 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 11771634082560 in words is "eleven trillion, seven hundred seventy-one billion, six hundred thirty-four million, eighty-two thousand, five hundred sixty".