10864738170 has 320 divisors, whose sum is σ = 34711117056. Its totient is φ = 2403717120.

The previous prime is 10864738169. The next prime is 10864738187. The reversal of 10864738170 is 7183746801.

10864738170 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 473 + 8 + 170 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11235027 + ... + 11235993.

Almost surely, 2^10864738170 is an apocalyptic number.

10864738170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864738170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355558528).

10864738170 is an abundant number, since it is smaller than the sum of its proper divisors (23846378886).

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

10864738170 is a wasteful number, since it uses less digits than its factorization.

10864738170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10864738170 in words is "ten billion, eight hundred sixty-four million, seven hundred thirty-eight thousand, one hundred seventy".