215289353295120 has 640 divisors, whose sum is σ = 792559272960000. Its totient is φ = 47860293132288.

The previous prime is 215289353295113. The next prime is 215289353295131. The reversal of 215289353295120 is 21592353982512.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135017871 + ... + 136603089.

It is an arithmetic number, because the mean of its divisors is an integer number (1238373864000).

Almost surely, 2^{215289353295120} is an apocalyptic number.

215289353295120 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 215289353295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396279636480000).

215289353295120 is an abundant number, since it is smaller than the sum of its proper divisors (577269919664880).

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

215289353295120 is a wasteful number, since it uses less digits than its factorization.

215289353295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585375 (or 1585369 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 215289353295120 in words is "two hundred fifteen trillion, two hundred eighty-nine billion, three hundred fifty-three million, two hundred ninety-five thousand, one hundred twenty".