215120998752 has 96 divisors (see below), whose sum is σ = 617079544704. Its totient is φ = 65076940800.

The previous prime is 215120998747. The next prime is 215120998753. The reversal of 215120998752 is 257899021512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 215120998695 and 215120998704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215120998753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446352 + ... + 793392.

It is an arithmetic number, because the mean of its divisors is an integer number (6427911924).

Almost surely, 2^215120998752 is an apocalyptic number.

215120998752 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 215120998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308539772352).

215120998752 is an abundant number, since it is smaller than the sum of its proper divisors (401958545952).

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

215120998752 is a wasteful number, since it uses less digits than its factorization.

215120998752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347652 (or 347644 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 215120998752 in words is "two hundred fifteen billion, one hundred twenty million, nine hundred ninety-eight thousand, seven hundred fifty-two".