10067107070772 has 48 divisors (see below), whose sum is σ = 26188985484480. Its totient is φ = 3344249437344.

The previous prime is 10067107070771. The next prime is 10067107070831. The reversal of 10067107070772 is 27707070176001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067107070771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159036538 + ... + 159099825.

It is an arithmetic number, because the mean of its divisors is an integer number (545603864260).

Almost surely, 2^{10067107070772} is an apocalyptic number.

10067107070772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10067107070772 is an abundant number, since it is smaller than the sum of its proper divisors (16121878413708).

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

10067107070772 is a wasteful number, since it uses less digits than its factorization.

10067107070772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318136669 (or 318136661 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 45.

The spelling of 10067107070772 in words is "ten trillion, sixty-seven billion, one hundred seven million, seventy thousand, seven hundred seventy-two".