5359964520960 has 2560 divisors, whose sum is σ = 23837045760000. Its totient is φ = 1137731567616.

The previous prime is 5359964520959. The next prime is 5359964520991. The reversal of 5359964520960 is 690254699535.

5359964520960 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 96 + 452 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32883217839 + ... + 32883218001.

It is an arithmetic number, because the mean of its divisors is an integer number (9311346000).

Almost surely, 2^{5359964520960} 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 5359964520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918522880000).

5359964520960 is an abundant number, since it is smaller than the sum of its proper divisors (18477081239040).

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

5359964520960 is a wasteful number, since it uses less digits than its factorization.

5359964520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 5359964520960 in words is "five trillion, three hundred fifty-nine billion, nine hundred sixty-four million, five hundred twenty thousand, nine hundred sixty".