10009995979968 has 252 divisors, whose sum is σ = 29853292502592. Its totient is φ = 3203513349120.

The previous prime is 10009995979931. The next prime is 10009995980027. The reversal of 10009995979968 is 86997959990001.

10009995979968 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 9 + 9 + 597 + 9 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287982046 + ... + 288016802.

Almost surely, 2^{10009995979968} is an apocalyptic number.

10009995979968 is a gapful number since it is divisible by the number (18) 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 10009995979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926646251296).

10009995979968 is an abundant number, since it is smaller than the sum of its proper divisors (19843296522624).

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

10009995979968 is a wasteful number, since it uses less digits than its factorization.

10009995979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35060 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 892820880, while the sum is 81.

The spelling of 10009995979968 in words is "ten trillion, nine billion, nine hundred ninety-five million, nine hundred seventy-nine thousand, nine hundred sixty-eight".