216248583600000 has 5760 divisors, whose sum is σ = 1009009625500800. Its totient is φ = 45696752640000.

The previous prime is 216248583599987. The next prime is 216248583600017. The reversal of 216248583600000 is 6385842612.

216248583600000 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 4 + 8 + 583 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2021014799947 + ... + 2021014800053.

It is an arithmetic number, because the mean of its divisors is an integer number (175175282205).

Almost surely, 2^{216248583600000} is an apocalyptic number.

216248583600000 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 216248583600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504812750400).

216248583600000 is an abundant number, since it is smaller than the sum of its proper divisors (792761041900800).

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

216248583600000 is an equidigital number, since it uses as much as digits as its factorization.

216248583600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 216248583600000 in words is "two hundred sixteen trillion, two hundred forty-eight billion, five hundred eighty-three million, six hundred thousand".