215040416768 has 88 divisors (see below), whose sum is σ = 458226681600. Its totient is φ = 100571148288.

The previous prime is 215040416729. The next prime is 215040416779. The reversal of 215040416768 is 867614040512.

215040416768 is a modest number, since divided by 416768 gives 215040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467071 + ... + 1606977.

Almost surely, 2^215040416768 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 215040416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229113340800).

215040416768 is an abundant number, since it is smaller than the sum of its proper divisors (243186264832).

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

215040416768 is a wasteful number, since it uses less digits than its factorization.

215040416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140025 (or 140007 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 215040416768 in words is "two hundred fifteen billion, forty million, four hundred sixteen thousand, seven hundred sixty-eight".