10056771712 has 128 divisors (see below), whose sum is σ = 22837489920. Its totient is φ = 4376064000.

The previous prime is 10056771709. The next prime is 10056771727. The reversal of 10056771712 is 21717765001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10056771712² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715462 + ... + 2719162.

It is an arithmetic number, because the mean of its divisors is an integer number (178417890).

Almost surely, 2^10056771712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418744960).

10056771712 is an abundant number, since it is smaller than the sum of its proper divisors (12780718208).

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

10056771712 is a wasteful number, since it uses less digits than its factorization.

10056771712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 37.

The spelling of 10056771712 in words is "ten billion, fifty-six million, seven hundred seventy-one thousand, seven hundred twelve".