10161945576 has 192 divisors, whose sum is σ = 29246330880. Its totient is φ = 3182699520.

The previous prime is 10161945533. The next prime is 10161945581. The reversal of 10161945576 is 67554916101.

10161945576 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 94 + 557 + 6 = 666.

It is a super-3 number, since 3×10161945576³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16469620 + ... + 16470236.

It is an arithmetic number, because the mean of its divisors is an integer number (152324640).

Almost surely, 2^10161945576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161945576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623165440).

10161945576 is an abundant number, since it is smaller than the sum of its proper divisors (19084385304).

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

10161945576 is a wasteful number, since it uses less digits than its factorization.

10161945576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10161945576 in words is "ten billion, one hundred sixty-one million, nine hundred forty-five thousand, five hundred seventy-six".