10071263232 has 288 divisors, whose sum is σ = 30300510240. Its totient is φ = 3220439040.

The previous prime is 10071263219. The next prime is 10071263249. The reversal of 10071263232 is 23236217001.

10071263232 is a `hidden beast` number, since 10 + 0 + 7 + 12 + 632 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10071263196 and 10071263205.

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, 76879807 + ... + 76879937.

It is an arithmetic number, because the mean of its divisors is an integer number (105210105).

Almost surely, 2^10071263232 is an apocalyptic number.

10071263232 is a gapful number since it is divisible by the number (12) 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 10071263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150255120).

10071263232 is an abundant number, since it is smaller than the sum of its proper divisors (20229247008).

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

10071263232 is a wasteful number, since it uses less digits than its factorization.

10071263232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10071263232 in words is "ten billion, seventy-one million, two hundred sixty-three thousand, two hundred thirty-two".