10178140672 has 80 divisors (see below), whose sum is σ = 24043282560. Its totient is φ = 4211601408.

The previous prime is 10178140663. The next prime is 10178140691. The reversal of 10178140672 is 27604187101.

It is a super-3 number, since 3×10178140672³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54973 + ... + 152899.

It is an arithmetic number, because the mean of its divisors is an integer number (300541032).

Almost surely, 2^10178140672 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 10178140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021641280).

10178140672 is an abundant number, since it is smaller than the sum of its proper divisors (13865141888).

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

10178140672 is an frugal number, since it uses more digits than its factorization.

10178140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97981 (or 97965 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 10178140672 in words is "ten billion, one hundred seventy-eight million, one hundred forty thousand, six hundred seventy-two".