215632128505248 has 768 divisors, whose sum is σ = 814328557056000. Its totient is φ = 53978282717184.

The previous prime is 215632128505223. The next prime is 215632128505249. The reversal of 215632128505248 is 842505821236512.

215632128505248 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 3 + 2 + 128 + 505 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 215632128505194 and 215632128505203.

It is not an unprimeable number, because it can be changed into a prime (215632128505249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133724211 + ... + 135327117.

It is an arithmetic number, because the mean of its divisors is an integer number (1060323642000).

Almost surely, 2^{215632128505248} is an apocalyptic number.

215632128505248 is a gapful number since it is divisible by the number (28) 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 215632128505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407164278528000).

215632128505248 is an abundant number, since it is smaller than the sum of its proper divisors (598696428550752).

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

215632128505248 is a wasteful number, since it uses less digits than its factorization.

215632128505248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603034 (or 1603020 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 215632128505248 in words is "two hundred fifteen trillion, six hundred thirty-two billion, one hundred twenty-eight million, five hundred five thousand, two hundred forty-eight".