5355654466500 has 288 divisors, whose sum is σ = 18198801260640. Its totient is φ = 1318035456000.

The previous prime is 5355654466489. The next prime is 5355654466571. The reversal of 5355654466500 is 56644565535.

5355654466500 is a `hidden beast` number, since 5 + 35 + 5 + 6 + 5 + 44 + 66 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5097850496964 + 257803969536 = 2257842^2 + 507744^2 .

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, 472732836 + ... + 472744164.

It is an arithmetic number, because the mean of its divisors is an integer number (63190282155).

Almost surely, 2^{5355654466500} is an apocalyptic number.

5355654466500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5355654466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099400630320).

5355654466500 is an abundant number, since it is smaller than the sum of its proper divisors (12843146794140).

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

5355654466500 is a wasteful number, since it uses less digits than its factorization.

5355654466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 5355654466500 in words is "five trillion, three hundred fifty-five billion, six hundred fifty-four million, four hundred sixty-six thousand, five hundred".