11173873576320 has 3072 divisors, whose sum is σ = 54661920768000. Its totient is φ = 2033335664640.

The previous prime is 11173873576309. The next prime is 11173873576343. The reversal of 11173873576320 is 2367537837111.

11173873576320 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 38 + 7 + 3 + 576 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5248413016 + ... + 5248415144.

It is an arithmetic number, because the mean of its divisors is an integer number (17793594000).

Almost surely, 2^{11173873576320} is an apocalyptic number.

11173873576320 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 11173873576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27330960384000).

11173873576320 is an abundant number, since it is smaller than the sum of its proper divisors (43488047191680).

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

11173873576320 is a wasteful number, since it uses less digits than its factorization.

11173873576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 11173873576320 in words is "eleven trillion, one hundred seventy-three billion, eight hundred seventy-three million, five hundred seventy-six thousand, three hundred twenty".