215610016512 has 144 divisors (see below), whose sum is σ = 653222239488. Its totient is φ = 62495600640.

The previous prime is 215610016487. The next prime is 215610016549.

215610016512 is nontrivially palindromic in base 10.

215610016512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×215610016512² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215610016512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360523 + ... + 749130.

It is an arithmetic number, because the mean of its divisors is an integer number (4536265552).

Almost surely, 2^215610016512 is an apocalyptic number.

215610016512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

215610016512 is an abundant number, since it is smaller than the sum of its proper divisors (437612222976).

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

215610016512 is a wasteful number, since it uses less digits than its factorization.

215610016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109706 (or 1109692 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 215610016512 in words is "two hundred fifteen billion, six hundred ten million, sixteen thousand, five hundred twelve".