215515424515512 has 384 divisors, whose sum is σ = 601404334917120. Its totient is φ = 64302995328000.

The previous prime is 215515424515451. The next prime is 215515424515541.

215515424515512 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96341270458 + ... + 96341272694.

It is an arithmetic number, because the mean of its divisors is an integer number (1566157122180).

Almost surely, 2^{215515424515512} is an apocalyptic number.

215515424515512 is a gapful number since it is divisible by the number (22) 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 215515424515512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300702167458560).

215515424515512 is an abundant number, since it is smaller than the sum of its proper divisors (385888910401608).

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

215515424515512 is a wasteful number, since it uses less digits than its factorization.

215515424515512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4028 counting only the distinct ones).

The product of its digits is 2000000, while the sum is 48.

The spelling of 215515424515512 in words is "two hundred fifteen trillion, five hundred fifteen billion, four hundred twenty-four million, five hundred fifteen thousand, five hundred twelve".