10117948077216 has 72 divisors (see below), whose sum is σ = 32883331257504. Its totient is φ = 2890842307200.

The previous prime is 10117948077187. The next prime is 10117948077221. The reversal of 10117948077216 is 61277084971101.

10117948077216 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 79 + 480 + 77 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2509409710 + ... + 2509413741.

It is an arithmetic number, because the mean of its divisors is an integer number (456712934132).

Almost surely, 2^{10117948077216} is an apocalyptic number.

10117948077216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10117948077216 is an abundant number, since it is smaller than the sum of its proper divisors (22765383180288).

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

10117948077216 is a wasteful number, since it uses less digits than its factorization.

10117948077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018823474 (or 5018823463 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 10117948077216 in words is "ten trillion, one hundred seventeen billion, nine hundred forty-eight million, seventy-seven thousand, two hundred sixteen".