215460525717216 has 1344 divisors, whose sum is σ = 712461425550336. Its totient is φ = 63697085337600.

The previous prime is 215460525717211. The next prime is 215460525717257. The reversal of 215460525717216 is 612717525064512.

215460525717216 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 0 + 52 + 571 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×215460525717216² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215460525717211) 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 223 ways as a sum of consecutive naturals, for example, 162366635145 + ... + 162366636471.

It is an arithmetic number, because the mean of its divisors is an integer number (530105227344).

Almost surely, 2^{215460525717216} is an apocalyptic number.

215460525717216 is a gapful number since it is divisible by the number (26) 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 215460525717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356230712775168).

215460525717216 is an abundant number, since it is smaller than the sum of its proper divisors (497000899833120).

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

215460525717216 is a wasteful number, since it uses less digits than its factorization.

215460525717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 215460525717216 in words is "two hundred fifteen trillion, four hundred sixty billion, five hundred twenty-five million, seven hundred seventeen thousand, two hundred sixteen".