215666275563648 has 1536 divisors, whose sum is σ = 831176849018880. Its totient is φ = 52057158451200.

The previous prime is 215666275563643. The next prime is 215666275563653. The reversal of 215666275563648 is 846365572666512.

It is an interprime number because it is at equal distance from previous prime (215666275563643) and next prime (215666275563653).

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

It is not an unprimeable number, because it can be changed into a prime (215666275563643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23162520913 + ... + 23162530223.

It is an arithmetic number, because the mean of its divisors is an integer number (541130761080).

Almost surely, 2^{215666275563648} is an apocalyptic number.

215666275563648 is a gapful number since it is divisible by the number (28) 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 215666275563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415588424509440).

215666275563648 is an abundant number, since it is smaller than the sum of its proper divisors (615510573455232).

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

215666275563648 is a wasteful number, since it uses less digits than its factorization.

215666275563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9711 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 215666275563648 in words is "two hundred fifteen trillion, six hundred sixty-six billion, two hundred seventy-five million, five hundred sixty-three thousand, six hundred forty-eight".