10358623872 has 256 divisors, whose sum is σ = 32605891200. Its totient is φ = 3226189824.

The previous prime is 10358623871. The next prime is 10358623921. The reversal of 10358623872 is 27832685301.

10358623872 is a `hidden beast` number, since 10 + 3 + 5 + 8 + 623 + 8 + 7 + 2 = 666.

It is a super-3 number, since 3×10358623872³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10358623871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9223503 + ... + 9224625.

Almost surely, 2^10358623872 is an apocalyptic number.

10358623872 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 10358623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16302945600).

10358623872 is an abundant number, since it is smaller than the sum of its proper divisors (22247267328).

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

10358623872 is a wasteful number, since it uses less digits than its factorization.

10358623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10358623872 in words is "ten billion, three hundred fifty-eight million, six hundred twenty-three thousand, eight hundred seventy-two".