10006860772072 has 8 divisors (see below), whose sum is σ = 18762863947650. Its totient is φ = 5003430386032.

The previous prime is 10006860772049. The next prime is 10006860772177. The reversal of 10006860772072 is 27027706860001.

10006860772072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5919128921476 + 4087731850596 = 2432926^2 + 2021814^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625428798247 + ... + 625428798262.

Almost surely, 2^{10006860772072} is an apocalyptic number.

It is an amenable number.

10006860772072 is a deficient number, since it is larger than the sum of its proper divisors (8756003175578).

10006860772072 is a wasteful number, since it uses less digits than its factorization.

10006860772072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250857596515 (or 1250857596511 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 10006860772072 in words is "ten trillion, six billion, eight hundred sixty million, seven hundred seventy-two thousand, seventy-two".