10005567652002 has 32 divisors (see below), whose sum is σ = 22051626746688. Its totient is φ = 3007040008896.

The previous prime is 10005567652001. The next prime is 10005567652007. The reversal of 10005567652002 is 20025676550001.

It is a super-2 number, since 2×10005567652002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10005567652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491583953 + ... + 1491590660.

It is an arithmetic number, because the mean of its divisors is an integer number (689113335834).

Almost surely, 2^{10005567652002} is an apocalyptic number.

10005567652002 is an abundant number, since it is smaller than the sum of its proper divisors (12046059094686).

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

10005567652002 is a wasteful number, since it uses less digits than its factorization.

10005567652002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983174674.

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 10005567652002 in words is "ten trillion, five billion, five hundred sixty-seven million, six hundred fifty-two thousand, two".