216287379000 has 1152 divisors, whose sum is σ = 972948412800. Its totient is φ = 42273792000.

The previous prime is 216287378987. The next prime is 216287379013. The reversal of 216287379000 is 973782612.

It is an interprime number because it is at equal distance from previous prime (216287378987) and next prime (216287379013).

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129590166 + ... + 129591834.

It is an arithmetic number, because the mean of its divisors is an integer number (844573275).

Almost surely, 2^216287379000 is an apocalyptic number.

216287379000 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 216287379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486474206400).

216287379000 is an abundant number, since it is smaller than the sum of its proper divisors (756661033800).

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

216287379000 is a wasteful number, since it uses less digits than its factorization.

216287379000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 216287379000 in words is "two hundred sixteen billion, two hundred eighty-seven million, three hundred seventy-nine thousand".