9901551680992 has 96 divisors (see below), whose sum is σ = 20503307230560. Its totient is φ = 4701589831680.

The previous prime is 9901551680971. The next prime is 9901551681013. The reversal of 9901551680992 is 2990861551099.

It is an interprime number because it is at equal distance from previous prime (9901551680971) and next prime (9901551681013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16230384 + ... + 16829392.

It is an arithmetic number, because the mean of its divisors is an integer number (213576116985).

Almost surely, 2^{9901551680992} 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 9901551680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251653615280).

9901551680992 is an abundant number, since it is smaller than the sum of its proper divisors (10601755549568).

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

9901551680992 is a wasteful number, since it uses less digits than its factorization.

9901551680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599396 (or 599388 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 64.

The spelling of 9901551680992 in words is "nine trillion, nine hundred one billion, five hundred fifty-one million, six hundred eighty thousand, nine hundred ninety-two".