215010816768000 has 5376 divisors, whose sum is σ = 953771363475840. Its totient is φ = 47775744000000.

The previous prime is 215010816767947. The next prime is 215010816768047. The reversal of 215010816768000 is 867618010512.

215010816768000 is a `hidden beast` number, since 2 + 1 + 501 + 0 + 8 + 1 + 67 + 6 + 80 + 0 + 0 = 666.

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 447 ways as a sum of consecutive naturals, for example, 2128819967950 + ... + 2128819968050.

Almost surely, 2^{215010816768000} is an apocalyptic number.

215010816768000 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 215010816768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476885681737920).

215010816768000 is an abundant number, since it is smaller than the sum of its proper divisors (738760546707840).

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

215010816768000 is a wasteful number, since it uses less digits than its factorization.

215010816768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 215010816768000 in words is "two hundred fifteen trillion, ten billion, eight hundred sixteen million, seven hundred sixty-eight thousand".