9917977208832 has 2688 divisors, whose sum is σ = 40259312271360. Its totient is φ = 2384606822400.

The previous prime is 9917977208827. The next prime is 9917977208851. The reversal of 9917977208832 is 2388027797199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 319934748657 + ... + 319934748687.

It is an arithmetic number, because the mean of its divisors is an integer number (14977422720).

Almost surely, 2^{9917977208832} is an apocalyptic number.

9917977208832 is a gapful number since it is divisible by the number (92) 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 9917977208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129656135680).

9917977208832 is an abundant number, since it is smaller than the sum of its proper divisors (30341335062528).

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

9917977208832 is an equidigital number, since it uses as much as digits as its factorization.

9917977208832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 9917977208832 in words is "nine trillion, nine hundred seventeen billion, nine hundred seventy-seven million, two hundred eight thousand, eight hundred thirty-two".