10056350064 has 80 divisors (see below), whose sum is σ = 26284095488. Its totient is φ = 3312838656.

The previous prime is 10056350063. The next prime is 10056350081. The reversal of 10056350064 is 46005365001.

It is a super-2 number, since 2×10056350064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056350063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5060079 + ... + 5062065.

Almost surely, 2^10056350064 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 10056350064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142047744).

10056350064 is an abundant number, since it is smaller than the sum of its proper divisors (16227745424).

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

10056350064 is a wasteful number, since it uses less digits than its factorization.

10056350064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10056350064 in words is "ten billion, fifty-six million, three hundred fifty thousand, sixty-four".