10095056556 has 96 divisors (see below), whose sum is σ = 25778672640. Its totient is φ = 3056154624.

The previous prime is 10095056537. The next prime is 10095056581. The reversal of 10095056556 is 65565059001.

It is a super-2 number, since 2×10095056556² (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 31 ways as a sum of consecutive naturals, for example, 2706765 + ... + 2710491.

It is an arithmetic number, because the mean of its divisors is an integer number (268527840).

Almost surely, 2^10095056556 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 10095056556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889336320).

10095056556 is an abundant number, since it is smaller than the sum of its proper divisors (15683616084).

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

10095056556 is a wasteful number, since it uses less digits than its factorization.

10095056556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 10095056556 in words is "ten billion, ninety-five million, fifty-six thousand, five hundred fifty-six".