10031772960 has 288 divisors, whose sum is σ = 37562616000. Its totient is φ = 2417817600.

The previous prime is 10031772953. The next prime is 10031772977. The reversal of 10031772960 is 6927713001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2865291 + ... + 2868789.

It is an arithmetic number, because the mean of its divisors is an integer number (130425750).

Almost surely, 2^10031772960 is an apocalyptic number.

10031772960 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 10031772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781308000).

10031772960 is an abundant number, since it is smaller than the sum of its proper divisors (27530843040).

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

10031772960 is a wasteful number, since it uses less digits than its factorization.

10031772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10031772960 in words is "ten billion, thirty-one million, seven hundred seventy-two thousand, nine hundred sixty".