11460552566100 has 72 divisors (see below), whose sum is σ = 36173671382688. Its totient is φ = 2778315772800.

The previous prime is 11460552566081. The next prime is 11460552566161. The reversal of 11460552566100 is 166525506411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1736444059 + ... + 1736450658.

Almost surely, 2^{11460552566100} is an apocalyptic number.

11460552566100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11460552566100 is an abundant number, since it is smaller than the sum of its proper divisors (24713118816588).

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

11460552566100 is a wasteful number, since it uses less digits than its factorization.

11460552566100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472894745 (or 3472894738 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 11460552566100 in words is "eleven trillion, four hundred sixty billion, five hundred fifty-two million, five hundred sixty-six thousand, one hundred".