215768772648000 has 8064 divisors, whose sum is σ = 1061260116134400. Its totient is φ = 42568187904000.

The previous prime is 215768772647927. The next prime is 215768772648029. The reversal of 215768772648000 is 846277867512.

It is a happy number.

215768772648000 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 6 + 87 + 72 + 6 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2424368231956 + ... + 2424368232044.

It is an arithmetic number, because the mean of its divisors is an integer number (131604677100).

Almost surely, 2^{215768772648000} is an apocalyptic number.

215768772648000 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 215768772648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530630058067200).

215768772648000 is an abundant number, since it is smaller than the sum of its proper divisors (845491343486400).

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

215768772648000 is a wasteful number, since it uses less digits than its factorization.

215768772648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 215768772648000 in words is "two hundred fifteen trillion, seven hundred sixty-eight billion, seven hundred seventy-two million, six hundred forty-eight thousand".