10170223776 has 144 divisors (see below), whose sum is σ = 29824835040. Its totient is φ = 3285434880.

The previous prime is 10170223751. The next prime is 10170223787. The reversal of 10170223776 is 67732207101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10170223776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619170 + ... + 1625438.

It is an arithmetic number, because the mean of its divisors is an integer number (207116910).

Almost surely, 2^10170223776 is an apocalyptic number.

10170223776 is a gapful number since it is divisible by the number (16) 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 10170223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912417520).

10170223776 is an abundant number, since it is smaller than the sum of its proper divisors (19654611264).

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

10170223776 is a wasteful number, since it uses less digits than its factorization.

10170223776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10170223776 in words is "ten billion, one hundred seventy million, two hundred twenty-three thousand, seven hundred seventy-six".