215112153600 has 420 divisors, whose sum is σ = 799104871686. Its totient is φ = 57360752640.

The previous prime is 215112153583. The next prime is 215112153623. The reversal of 215112153600 is 6351211512.

215112153600 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 1 + 2 + 1 + 53 + 600 = 666.

215112153600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 183279884544 + 31832269056 = 428112^2 + 178416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 9319674 + ... + 9342726.

Almost surely, 2^215112153600 is an apocalyptic number.

215112153600 is a gapful number since it is divisible by the number (20) 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 215112153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399552435843).

215112153600 is an abundant number, since it is smaller than the sum of its proper divisors (583992718086).

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

215112153600 is an frugal number, since it uses more digits than its factorization.

215112153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 215112153600 in words is "two hundred fifteen billion, one hundred twelve million, one hundred fifty-three thousand, six hundred".