5578353768960 has 480 divisors, whose sum is σ = 22676086173312. Its totient is φ = 1240590090240.

The previous prime is 5578353768943. The next prime is 5578353768973. The reversal of 5578353768960 is 698673538755.

5578353768960 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 3 + 537 + 6 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5578353768960² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499955 + ... + 6434765.

Almost surely, 2^{5578353768960} 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 5578353768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338043086656).

5578353768960 is an abundant number, since it is smaller than the sum of its proper divisors (17097732404352).

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

5578353768960 is a wasteful number, since it uses less digits than its factorization.

5578353768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934884 (or 934865 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 5578353768960 in words is "five trillion, five hundred seventy-eight billion, three hundred fifty-three million, seven hundred sixty-eight thousand, nine hundred sixty".