11606456556400 has 120 divisors (see below), whose sum is σ = 29148369305600. Its totient is φ = 4435950355200.

The previous prime is 11606456556397. The next prime is 11606456556437. The reversal of 11606456556400 is 465565460611.

11606456556400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4944480 + ... + 6903679.

Almost surely, 2^{11606456556400} is an apocalyptic number.

11606456556400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11606456556400 is an abundant number, since it is smaller than the sum of its proper divisors (17541912749200).

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

11606456556400 is a wasteful number, since it uses less digits than its factorization.

11606456556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848287 (or 11848276 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 11606456556400 in words is "eleven trillion, six hundred six billion, four hundred fifty-six million, five hundred fifty-six thousand, four hundred".