9791020800000 has 2880 divisors, whose sum is σ = 42640809251040. Its totient is φ = 2211840000000.

The previous prime is 9791020799993. The next prime is 9791020800023. The reversal of 9791020800000 is 80201979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 96940799950 + ... + 96940800050.

Almost surely, 2^{9791020800000} is an apocalyptic number.

9791020800000 is a gapful number since it is divisible by the number (90) 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 9791020800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320404625520).

9791020800000 is an abundant number, since it is smaller than the sum of its proper divisors (32849788451040).

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

9791020800000 is a wasteful number, since it uses less digits than its factorization.

9791020800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 9791020800000 in words is "nine trillion, seven hundred ninety-one billion, twenty million, eight hundred thousand".