11556437403664 has 80 divisors (see below), whose sum is σ = 23357450741760. Its totient is φ = 5532951191040.

The previous prime is 11556437403569. The next prime is 11556437403677. The reversal of 11556437403664 is 46630473465511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18300942 + ... + 18921874.

It is an arithmetic number, because the mean of its divisors is an integer number (291968134272).

Almost surely, 2^{11556437403664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556437403664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678725370880).

11556437403664 is an abundant number, since it is smaller than the sum of its proper divisors (11801013338096).

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

11556437403664 is a wasteful number, since it uses less digits than its factorization.

11556437403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621368 (or 621362 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 11556437403664 in words is "eleven trillion, five hundred fifty-six billion, four hundred thirty-seven million, four hundred three thousand, six hundred sixty-four".