216225087459360 has 384 divisors, whose sum is σ = 797584285661184. Its totient is φ = 48206051696640.

The previous prime is 216225087459307. The next prime is 216225087459397. The reversal of 216225087459360 is 63954780522612.

It is a super-2 number, since 2×216225087459360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 216225087459294 and 216225087459303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589842847 + ... + 590209313.

It is an arithmetic number, because the mean of its divisors is an integer number (2077042410576).

It is a 1-persistent number, because it is pandigital, but 2⋅216225087459360 = 432450174918720 is not.

Almost surely, 2^{216225087459360} is an apocalyptic number.

216225087459360 is a gapful number since it is divisible by the number (20) 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 216225087459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398792142830592).

216225087459360 is an abundant number, since it is smaller than the sum of its proper divisors (581359198201824).

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

216225087459360 is a wasteful number, since it uses less digits than its factorization.

216225087459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370816 (or 370808 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 216225087459360 in words is "two hundred sixteen trillion, two hundred twenty-five billion, eighty-seven million, four hundred fifty-nine thousand, three hundred sixty".