215073842960016 has 400 divisors, whose sum is σ = 676917487206400. Its totient is φ = 65675463033600.

The previous prime is 215073842959991. The next prime is 215073842960023. The reversal of 215073842960016 is 610069248370512.

It is a happy number.

215073842960016 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 7 + 3 + 8 + 4 + 29 + 600 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 976206831 + ... + 976427121.

It is an arithmetic number, because the mean of its divisors is an integer number (1692293718016).

It is a 2-persistent number, because it is pandigital, and so is 2⋅215073842960016 = 430147685920032, but 3⋅215073842960016 = 645221528880048 is not.

Almost surely, 2^{215073842960016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215073842960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338458743603200).

215073842960016 is an abundant number, since it is smaller than the sum of its proper divisors (461843644246384).

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

215073842960016 is a wasteful number, since it uses less digits than its factorization.

215073842960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221640 (or 221625 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 215073842960016 in words is "two hundred fifteen trillion, seventy-three billion, eight hundred forty-two million, nine hundred sixty thousand, sixteen".