215790946560 has 720 divisors, whose sum is σ = 928948944000. Its totient is φ = 46724677632.

The previous prime is 215790946523. The next prime is 215790946573. The reversal of 215790946560 is 65649097512.

215790946560 is a `hidden beast` number, since 2 + 1 + 5 + 79 + 0 + 9 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 215790946497 and 215790946506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13781616 + ... + 13797264.

Almost surely, 2^215790946560 is an apocalyptic number.

215790946560 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 215790946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464474472000).

215790946560 is an abundant number, since it is smaller than the sum of its proper divisors (713157997440).

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

215790946560 is a wasteful number, since it uses less digits than its factorization.

215790946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 215790946560 in words is "two hundred fifteen billion, seven hundred ninety million, nine hundred forty-six thousand, five hundred sixty".