10387170816 has 480 divisors, whose sum is σ = 33873510528. Its totient is φ = 2793799680.

The previous prime is 10387170811. The next prime is 10387170821. The reversal of 10387170816 is 61807178301.

It is an interprime number because it is at equal distance from previous prime (10387170811) and next prime (10387170821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387170811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241562091 + ... + 241562133.

Almost surely, 2^10387170816 is an apocalyptic number.

10387170816 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 10387170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936755264).

10387170816 is an abundant number, since it is smaller than the sum of its proper divisors (23486339712).

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

10387170816 is a wasteful number, since it uses less digits than its factorization.

10387170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 10387170816 in words is "ten billion, three hundred eighty-seven million, one hundred seventy thousand, eight hundred sixteen".