11556680004 has 243 divisors, whose sum is σ = 33035187549. Its totient is φ = 3405663360.

The previous prime is 11556679997. The next prime is 11556680033. The reversal of 11556680004 is 40008665511.

The square root of 11556680004 is 107502.

It is a perfect power (a square), and thus also a powerful number.

11556680004 is a `hidden beast` number, since 1 + 15 + 566 + 80 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 556865604 + 10999814400 = 23598^2 + 104880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 281870224 + ... + 281870264.

Almost surely, 2^11556680004 is an apocalyptic number.

11556680004 is the 107502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556680004

11556680004 is an abundant number, since it is smaller than the sum of its proper divisors (21478507545).

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

11556680004 is a wasteful number, since it uses less digits than its factorization.

11556680004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 11556680004 by its sum of digits (36), we get a square (416040480144 = 645012²).

11556680004 divided by its sum of digits (36) gives a square (321018889 = 17917²).

The spelling of 11556680004 in words is "eleven billion, five hundred fifty-six million, six hundred eighty thousand, four".