9907285512096 has 576 divisors, whose sum is σ = 35896674078720. Its totient is φ = 2624601553920.

The previous prime is 9907285512073. The next prime is 9907285512107. The reversal of 9907285512096 is 6902155827099.

9907285512096 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 28 + 5 + 512 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48505866 + ... + 48709686.

It is an arithmetic number, because the mean of its divisors is an integer number (62320614720).

Almost surely, 2^{9907285512096} is an apocalyptic number.

9907285512096 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 9907285512096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948337039360).

9907285512096 is an abundant number, since it is smaller than the sum of its proper divisors (25989388566624).

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

9907285512096 is a wasteful number, since it uses less digits than its factorization.

9907285512096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203919 (or 203899 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 9907285512096 in words is "nine trillion, nine hundred seven billion, two hundred eighty-five million, five hundred twelve thousand, ninety-six".