10007933589192 has 512 divisors, whose sum is σ = 32836700160000. Its totient is φ = 2486625039360.

The previous prime is 10007933589191. The next prime is 10007933589193. The reversal of 10007933589192 is 29198533970001.

It is an interprime number because it is at equal distance from previous prime (10007933589191) and next prime (10007933589193).

It is not an unprimeable number, because it can be changed into a prime (10007933589191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706817809 + ... + 706831967.

It is an arithmetic number, because the mean of its divisors is an integer number (64134180000).

Almost surely, 2^{10007933589192} is an apocalyptic number.

10007933589192 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 10007933589192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418350080000).

10007933589192 is an abundant number, since it is smaller than the sum of its proper divisors (22828766570808).

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

10007933589192 is a wasteful number, since it uses less digits than its factorization.

10007933589192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 10007933589192 in words is "ten trillion, seven billion, nine hundred thirty-three million, five hundred eighty-nine thousand, one hundred ninety-two".