11466072576 has 480 divisors, whose sum is σ = 40675789440. Its totient is φ = 3036413952.

The previous prime is 11466072547. The next prime is 11466072581. The reversal of 11466072576 is 67527066411.

11466072576 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 6 + 0 + 72 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32481616 + ... + 32481968.

It is an arithmetic number, because the mean of its divisors is an integer number (84741228).

Almost surely, 2^11466072576 is an apocalyptic number.

11466072576 is a gapful number since it is divisible by the number (16) 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 11466072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337894720).

11466072576 is an abundant number, since it is smaller than the sum of its proper divisors (29209716864).

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

11466072576 is a wasteful number, since it uses less digits than its factorization.

11466072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11466072576 in words is "eleven billion, four hundred sixty-six million, seventy-two thousand, five hundred seventy-six".