215753357512 has 128 divisors (see below), whose sum is σ = 513748915200. Its totient is φ = 82499385600.

The previous prime is 215753357497. The next prime is 215753357531.

It is a happy number.

215753357512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×215753357512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23728087 + ... + 23737177.

It is an arithmetic number, because the mean of its divisors is an integer number (4013663400).

Almost surely, 2^215753357512 is an apocalyptic number.

215753357512 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 215753357512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256874457600).

215753357512 is an abundant number, since it is smaller than the sum of its proper divisors (297995557688).

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

215753357512 is a wasteful number, since it uses less digits than its factorization.

215753357512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9823 counting only the distinct ones).

The product of its digits is 1102500, while the sum is 46.

The spelling of 215753357512 in words is "two hundred fifteen billion, seven hundred fifty-three million, three hundred fifty-seven thousand, five hundred twelve".