6216558312096 has 864 divisors, whose sum is σ = 21215917578240. Its totient is φ = 1769240309760.

The previous prime is 6216558312071. The next prime is 6216558312109. The reversal of 6216558312096 is 6902138556126.

6216558312096 is a `hidden beast` number, since 62 + 1 + 6 + 558 + 3 + 1 + 20 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4793028120 + ... + 4793029416.

It is an arithmetic number, because the mean of its divisors is an integer number (24555460160).

Almost surely, 2^{6216558312096} is an apocalyptic number.

6216558312096 is a gapful number since it is divisible by the number (66) 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 6216558312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607958789120).

6216558312096 is an abundant number, since it is smaller than the sum of its proper divisors (14999359266144).

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

6216558312096 is a wasteful number, since it uses less digits than its factorization.

6216558312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6216558312096 in words is "six trillion, two hundred sixteen billion, five hundred fifty-eight million, three hundred twelve thousand, ninety-six".