215040088224 has 480 divisors, whose sum is σ = 707733346320. Its totient is φ = 63597477888.

The previous prime is 215040088213. The next prime is 215040088229. The reversal of 215040088224 is 422880040512.

215040088224 is a `hidden beast` number, since 2 + 150 + 400 + 8 + 82 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24130515600 + 190909572624 = 155340^2 + 436932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (215040088229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 329310682 + ... + 329311334.

Almost surely, 2^215040088224 is an apocalyptic number.

215040088224 is a gapful number since it is divisible by the number (24) 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 215040088224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353866673160).

215040088224 is an abundant number, since it is smaller than the sum of its proper divisors (492693258096).

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

215040088224 is a wasteful number, since it uses less digits than its factorization.

215040088224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 215040088224 in words is "two hundred fifteen billion, forty million, eighty-eight thousand, two hundred twenty-four".