215074048896 has 576 divisors, whose sum is σ = 764285184000. Its totient is φ = 57720563712.

The previous prime is 215074048879. The next prime is 215074048901. The reversal of 215074048896 is 698840470512.

It is a happy number.

215074048896 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 74 + 0 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136208235 + ... + 136209813.

It is an arithmetic number, because the mean of its divisors is an integer number (1326884000).

Almost surely, 2^215074048896 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 215074048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382142592000).

215074048896 is an abundant number, since it is smaller than the sum of its proper divisors (549211135104).

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

215074048896 is a wasteful number, since it uses less digits than its factorization.

215074048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 215074048896 in words is "two hundred fifteen billion, seventy-four million, forty-eight thousand, eight hundred ninety-six".