10056313983520 has 384 divisors, whose sum is σ = 28283368845312. Its totient is φ = 3308091494400.

The previous prime is 10056313983493. The next prime is 10056313983601. The reversal of 10056313983520 is 2538931365001.

It is a super-2 number, since 2×10056313983520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 442199350 + ... + 442222090.

It is an arithmetic number, because the mean of its divisors is an integer number (73654606368).

Almost surely, 2^{10056313983520} is an apocalyptic number.

10056313983520 is a gapful number since it is divisible by the number (10) 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 10056313983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141684422656).

10056313983520 is an abundant number, since it is smaller than the sum of its proper divisors (18227054861792).

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

10056313983520 is a wasteful number, since it uses less digits than its factorization.

10056313983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22984 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 10056313983520 in words is "ten trillion, fifty-six billion, three hundred thirteen million, nine hundred eighty-three thousand, five hundred twenty".