10116979718400 has 729 divisors, whose sum is σ = 37542903253401. Its totient is φ = 2599131709440.

The previous prime is 10116979718333. The next prime is 10116979718401. The reversal of 10116979718400 is 481797961101.

The square root of 10116979718400 is 3180720.

It is a perfect power (a square), and thus also a powerful number.

10116979718400 is a `hidden beast` number, since 1 + 0 + 1 + 169 + 7 + 9 + 71 + 8 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2274112256256 + 7842867462144 = 1508016^2 + 2800512^2 .

It is not an unprimeable number, because it can be changed into a prime (10116979718401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22137810972 + ... + 22137811428.

Almost surely, 2^{10116979718400} is an apocalyptic number.

10116979718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10116979718400 is the 3180720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116979718400

10116979718400 is an abundant number, since it is smaller than the sum of its proper divisors (27425923535001).

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

10116979718400 is an frugal number, since it uses more digits than its factorization.

10116979718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 10116979718400 in words is "ten trillion, one hundred sixteen billion, nine hundred seventy-nine million, seven hundred eighteen thousand, four hundred".