5469860352960 has 2240 divisors, whose sum is σ = 21872143687680. Its totient is φ = 1293408829440.

The previous prime is 5469860352953. The next prime is 5469860352997. The reversal of 5469860352960 is 692530689645.

5469860352960 is a `hidden beast` number, since 5 + 46 + 9 + 8 + 6 + 0 + 3 + 529 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53105440269 + ... + 53105440371.

Almost surely, 2^{5469860352960} 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 5469860352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936071843840).

5469860352960 is an abundant number, since it is smaller than the sum of its proper divisors (16402283334720).

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

5469860352960 is a wasteful number, since it uses less digits than its factorization.

5469860352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 5469860352960 in words is "five trillion, four hundred sixty-nine billion, eight hundred sixty million, three hundred fifty-two thousand, nine hundred sixty".