215331728040 has 384 divisors, whose sum is σ = 833769780480. Its totient is φ = 47506636800.

The previous prime is 215331728011. The next prime is 215331728041. The reversal of 215331728040 is 40827133512.

215331728040 is a `hidden beast` number, since 2 + 1 + 5 + 331 + 7 + 280 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 215331727986 and 215331728004.

It is not an unprimeable number, because it can be changed into a prime (215331728041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3625624 + ... + 3684536.

It is an arithmetic number, because the mean of its divisors is an integer number (2171275470).

Almost surely, 2^215331728040 is an apocalyptic number.

215331728040 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 215331728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416884890240).

215331728040 is an abundant number, since it is smaller than the sum of its proper divisors (618438052440).

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

215331728040 is a wasteful number, since it uses less digits than its factorization.

215331728040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59025 (or 59018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 215331728040 in words is "two hundred fifteen billion, three hundred thirty-one million, seven hundred twenty-eight thousand, forty".