10042055762200 has 96 divisors (see below), whose sum is σ = 29108920124160. Its totient is φ = 3129991401600.

The previous prime is 10042055762149. The next prime is 10042055762261. The reversal of 10042055762200 is 226755024001.

It is a super-2 number, since 2×10042055762200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326025372 + ... + 326056171.

It is an arithmetic number, because the mean of its divisors is an integer number (303217917960).

Almost surely, 2^{10042055762200} is an apocalyptic number.

10042055762200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042055762200 is an abundant number, since it is smaller than the sum of its proper divisors (19066864361960).

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

10042055762200 is a wasteful number, since it uses less digits than its factorization.

10042055762200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652081577 (or 652081568 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 10042055762200 in words is "ten trillion, forty-two billion, fifty-five million, seven hundred sixty-two thousand, two hundred".