5311668960 has 672 divisors, whose sum is σ = 21100601088. Its totient is φ = 1254113280.

The previous prime is 5311668953. The next prime is 5311668979. The reversal of 5311668960 is 698661135.

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 111 ways as a sum of consecutive naturals, for example, 47005864 + ... + 47005976.

It is an arithmetic number, because the mean of its divisors is an integer number (31399704).

Almost surely, 2^5311668960 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 5311668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10550300544).

5311668960 is an abundant number, since it is smaller than the sum of its proper divisors (15788932128).

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

5311668960 is a wasteful number, since it uses less digits than its factorization.

5311668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5311668960 is about 72881.1975752320. The cubic root of 5311668960 is about 1744.7920223502.

The spelling of 5311668960 in words is "five billion, three hundred eleven million, six hundred sixty-eight thousand, nine hundred sixty".