215797687140672 has 224 divisors, whose sum is σ = 780806446918400. Its totient is φ = 56913675687936.

The previous prime is 215797687140671. The next prime is 215797687140689. The reversal of 215797687140672 is 276041786797512.

It is a happy number.

215797687140672 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 9 + 76 + 87 + 1 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×215797687140672³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 215797687140672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215797687140671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686012647 + ... + 686327142.

It is an arithmetic number, because the mean of its divisors is an integer number (3485743066600).

Almost surely, 2^{215797687140672} is an apocalyptic number.

It is an amenable number.

215797687140672 is an abundant number, since it is smaller than the sum of its proper divisors (565008759777728).

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

215797687140672 is a wasteful number, since it uses less digits than its factorization.

215797687140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372339830 (or 1372339814 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 215797687140672 in words is "two hundred fifteen trillion, seven hundred ninety-seven billion, six hundred eighty-seven million, one hundred forty thousand, six hundred seventy-two".