10056867616 has 48 divisors (see below), whose sum is σ = 21052120320. Its totient is φ = 4712780800.

The previous prime is 10056867571. The next prime is 10056867673. The reversal of 10056867616 is 61676865001.

It is a super-2 number, since 2×10056867616² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91341 + ... + 168691.

It is an arithmetic number, because the mean of its divisors is an integer number (438585840).

Almost surely, 2^10056867616 is an apocalyptic number.

10056867616 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 10056867616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526060160).

10056867616 is an abundant number, since it is smaller than the sum of its proper divisors (10995252704).

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

10056867616 is a wasteful number, since it uses less digits than its factorization.

10056867616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77617 (or 77609 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10056867616 in words is "ten billion, fifty-six million, eight hundred sixty-seven thousand, six hundred sixteen".