10160256717072 has 800 divisors, whose sum is σ = 37250413035264. Its totient is φ = 2596910284800.

The previous prime is 10160256717067. The next prime is 10160256717103. The reversal of 10160256717072 is 27071765206101.

10160256717072 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 2 + 567 + 17 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3795387798 + ... + 3795390474.

Almost surely, 2^{10160256717072} is an apocalyptic number.

10160256717072 is a gapful number since it is divisible by the number (12) 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 10160256717072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625206517632).

10160256717072 is an abundant number, since it is smaller than the sum of its proper divisors (27090156318192).

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

10160256717072 is a wasteful number, since it uses less digits than its factorization.

10160256717072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 10160256717072 in words is "ten trillion, one hundred sixty billion, two hundred fifty-six million, seven hundred seventeen thousand, seventy-two".