5653481778560 has 1024 divisors, whose sum is σ = 18316481218560. Its totient is φ = 1614820147200.

The previous prime is 5653481778523. The next prime is 5653481778569. The reversal of 5653481778560 is 658771843565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653481778569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6971000555 + ... + 6971001365.

It is an arithmetic number, because the mean of its divisors is an integer number (17887188690).

Almost surely, 2^{5653481778560} 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 5653481778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158240609280).

5653481778560 is an abundant number, since it is smaller than the sum of its proper divisors (12662999440000).

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

5653481778560 is a wasteful number, since it uses less digits than its factorization.

5653481778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 65.

The spelling of 5653481778560 in words is "five trillion, six hundred fifty-three billion, four hundred eighty-one million, seven hundred seventy-eight thousand, five hundred sixty".