5335409640960 has 960 divisors, whose sum is σ = 22085725083840. Its totient is φ = 1217325957120.

The previous prime is 5335409640941. The next prime is 5335409640971. The reversal of 5335409640960 is 690469045335.

5335409640960 is a `hidden beast` number, since 5 + 3 + 3 + 540 + 9 + 6 + 4 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5335409640960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5335409640897 and 5335409640906.

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, 2563867120 + ... + 2563869200.

It is an arithmetic number, because the mean of its divisors is an integer number (23005963629).

Almost surely, 2^{5335409640960} 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 5335409640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042862541920).

5335409640960 is an abundant number, since it is smaller than the sum of its proper divisors (16750315442880).

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

5335409640960 is a wasteful number, since it uses less digits than its factorization.

5335409640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 5335409640960 in words is "five trillion, three hundred thirty-five billion, four hundred nine million, six hundred forty thousand, nine hundred sixty".