10231673760 has 480 divisors, whose sum is σ = 45023755392. Its totient is φ = 2125854720.

The previous prime is 10231673759. The next prime is 10231673791. The reversal of 10231673760 is 6737613201.

10231673760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 992794 + ... + 1003046.

Almost surely, 2^10231673760 is an apocalyptic number.

10231673760 is a gapful number since it is divisible by the number (10) 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 10231673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511877696).

10231673760 is an abundant number, since it is smaller than the sum of its proper divisors (34792081632).

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

10231673760 is a wasteful number, since it uses less digits than its factorization.

10231673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 10231673760 in words is "ten billion, two hundred thirty-one million, six hundred seventy-three thousand, seven hundred sixty".