10263791232 has 192 divisors, whose sum is σ = 31024156800. Its totient is φ = 3377147904.

The previous prime is 10263791207. The next prime is 10263791269. The reversal of 10263791232 is 23219736201.

10263791232 is a `hidden beast` number, since 1 + 0 + 2 + 637 + 9 + 12 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2455128 + ... + 2459304.

It is an arithmetic number, because the mean of its divisors is an integer number (161584150).

Almost surely, 2^10263791232 is an apocalyptic number.

10263791232 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 10263791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512078400).

10263791232 is an abundant number, since it is smaller than the sum of its proper divisors (20760365568).

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

10263791232 is an frugal number, since it uses more digits than its factorization.

10263791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10263791232 in words is "ten billion, two hundred sixty-three million, seven hundred ninety-one thousand, two hundred thirty-two".