9923569600896 has 2048 divisors, whose sum is σ = 38114537472000. Its totient is φ = 2476694568960.

The previous prime is 9923569600871. The next prime is 9923569600951. The reversal of 9923569600896 is 6980069653299.

9923569600896 is a `hidden beast` number, since 9 + 9 + 2 + 3 + 5 + 6 + 9 + 600 + 8 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51417458976 + ... + 51417459168.

It is an arithmetic number, because the mean of its divisors is an integer number (18610614000).

Almost surely, 2^{9923569600896} is an apocalyptic number.

9923569600896 is a gapful number since it is divisible by the number (96) 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 9923569600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057268736000).

9923569600896 is an abundant number, since it is smaller than the sum of its proper divisors (28190967871104).

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

9923569600896 is a wasteful number, since it uses less digits than its factorization.

9923569600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 9923569600896 in words is "nine trillion, nine hundred twenty-three billion, five hundred sixty-nine million, six hundred thousand, eight hundred ninety-six".