11145865610880 has 4608 divisors, whose sum is σ = 55554137452800. Its totient is φ = 2086844497920.

The previous prime is 11145865610861. The next prime is 11145865610933. The reversal of 11145865610880 is 8801656854111.

11145865610880 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 586 + 56 + 1 + 0 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114905830992 + ... + 114905831088.

Almost surely, 2^{11145865610880} is an apocalyptic number.

11145865610880 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 11145865610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777068726400).

11145865610880 is an abundant number, since it is smaller than the sum of its proper divisors (44408271841920).

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

11145865610880 is a wasteful number, since it uses less digits than its factorization.

11145865610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 11145865610880 in words is "eleven trillion, one hundred forty-five billion, eight hundred sixty-five million, six hundred ten thousand, eight hundred eighty".