10057339296 has 192 divisors, whose sum is σ = 29809704960. Its totient is φ = 3298579200.

The previous prime is 10057339291. The next prime is 10057339333. The reversal of 10057339296 is 69293375001.

10057339296 is a `hidden beast` number, since 100 + 5 + 73 + 392 + 96 = 666.

10057339296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10057339291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16568625 + ... + 16569231.

It is an arithmetic number, because the mean of its divisors is an integer number (155258880).

Almost surely, 2^10057339296 is an apocalyptic number.

10057339296 is a gapful number since it is divisible by the number (16) 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 10057339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904852480).

10057339296 is an abundant number, since it is smaller than the sum of its proper divisors (19752365664).

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

10057339296 is a wasteful number, since it uses less digits than its factorization.

10057339296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 10057339296 in words is "ten billion, fifty-seven million, three hundred thirty-nine thousand, two hundred ninety-six".