10056991536 has 160 divisors (see below), whose sum is σ = 30480192000. Its totient is φ = 3166117632.

The previous prime is 10056991531. The next prime is 10056991541. The reversal of 10056991536 is 63519965001.

10056991536 is a `hidden beast` number, since 100 + 5 + 6 + 9 + 9 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (10056991531) and next prime (10056991541).

It is a super-2 number, since 2×10056991536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10056991491 and 10056991500.

It is not an unprimeable number, because it can be changed into a prime (10056991531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944966 + ... + 2948378.

It is an arithmetic number, because the mean of its divisors is an integer number (190501200).

Almost surely, 2^10056991536 is an apocalyptic number.

10056991536 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 10056991536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240096000).

10056991536 is an abundant number, since it is smaller than the sum of its proper divisors (20423200464).

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

10056991536 is a wasteful number, since it uses less digits than its factorization.

10056991536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 10056991536 in words is "ten billion, fifty-six million, nine hundred ninety-one thousand, five hundred thirty-six".