9777589399872 has 448 divisors, whose sum is σ = 34012519833600. Its totient is φ = 2694955898880.

The previous prime is 9777589399867. The next prime is 9777589399913. The reversal of 9777589399872 is 2789939857779.

9777589399872 is a `hidden beast` number, since 9 + 7 + 7 + 75 + 89 + 399 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9777589399872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431803783 + ... + 431826425.

It is an arithmetic number, because the mean of its divisors is an integer number (75920803200).

Almost surely, 2^{9777589399872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9777589399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006259916800).

9777589399872 is an abundant number, since it is smaller than the sum of its proper divisors (24234930433728).

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

9777589399872 is a wasteful number, since it uses less digits than its factorization.

9777589399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23915 counting only the distinct ones).

The product of its digits is 30245685120, while the sum is 90.

The spelling of 9777589399872 in words is "nine trillion, seven hundred seventy-seven billion, five hundred eighty-nine million, three hundred ninety-nine thousand, eight hundred seventy-two".