5611656960 has 864 divisors, whose sum is σ = 24588240768. Its totient is φ = 1150156800.

The previous prime is 5611656959. The next prime is 5611656971. The reversal of 5611656960 is 696561165.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55560910 + ... + 55561010.

It is an arithmetic number, because the mean of its divisors is an integer number (28458612).

Almost surely, 2^5611656960 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 5611656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294120384).

5611656960 is an abundant number, since it is smaller than the sum of its proper divisors (18976583808).

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

5611656960 is a wasteful number, since it uses less digits than its factorization.

5611656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5611656960 is about 74910.9935857214. The cubic root of 5611656960 is about 1777.0393234881.

The spelling of 5611656960 in words is "five billion, six hundred eleven million, six hundred fifty-six thousand, nine hundred sixty".