963981100170720 has 144 divisors (see below), whose sum is σ = 3293841116809152. Its totient is φ = 256729075799040.

The previous prime is 963981100170701. The next prime is 963981100170721. The reversal of 963981100170720 is 27071001189369.

It is a happy number.

963981100170720 is a `hidden beast` number, since 9 + 6 + 398 + 1 + 10 + 0 + 170 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×963981100170720² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963981100170721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431895496 + ... + 434121735.

It is an arithmetic number, because the mean of its divisors is an integer number (22873896644508).

Almost surely, 2^{963981100170720} is an apocalyptic number.

963981100170720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

963981100170720 is an abundant number, since it is smaller than the sum of its proper divisors (2329860016638432).

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

963981100170720 is a wasteful number, since it uses less digits than its factorization.

963981100170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866018025 (or 866018014 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 963981100170720 in words is "nine hundred sixty-three trillion, nine hundred eighty-one billion, one hundred million, one hundred seventy thousand, seven hundred twenty".