11071689068160 has 2560 divisors, whose sum is σ = 48178871009280. Its totient is φ = 2370274099200.

The previous prime is 11071689068131. The next prime is 11071689068171. The reversal of 11071689068160 is 6186098617011.

It is a super-4 number, since 4×11071689068160⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11071689068097 and 11071689068106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 73322444085 + ... + 73322444235.

It is an arithmetic number, because the mean of its divisors is an integer number (18819871488).

Almost surely, 2^{11071689068160} is an apocalyptic number.

11071689068160 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 11071689068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089435504640).

11071689068160 is an abundant number, since it is smaller than the sum of its proper divisors (37107181941120).

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

11071689068160 is a wasteful number, since it uses less digits than its factorization.

11071689068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11071689068160 in words is "eleven trillion, seventy-one billion, six hundred eighty-nine million, sixty-eight thousand, one hundred sixty".