215285333945760 has 2304 divisors, whose sum is σ = 884082976358400. Its totient is φ = 49001717366784.

The previous prime is 215285333945719. The next prime is 215285333945761. The reversal of 215285333945760 is 67549333582512.

215285333945760 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 8 + 53 + 3 + 3 + 9 + 4 + 576 + 0 = 666.

215285333945760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (215285333945761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162234614217 + ... + 162234615543.

It is an arithmetic number, because the mean of its divisors is an integer number (383716569600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅215285333945760 = 430570667891520, but 3⋅215285333945760 = 645856001837280 is not.

Almost surely, 2^{215285333945760} is an apocalyptic number.

215285333945760 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 215285333945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442041488179200).

215285333945760 is an abundant number, since it is smaller than the sum of its proper divisors (668797642412640).

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

215285333945760 is a wasteful number, since it uses less digits than its factorization.

215285333945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 215285333945760 in words is "two hundred fifteen trillion, two hundred eighty-five billion, three hundred thirty-three million, nine hundred forty-five thousand, seven hundred sixty".