10772213145307 has 8 divisors (see below), whose sum is σ = 10854741926160. Its totient is φ = 10689688882080.

The previous prime is 10772213145301. The next prime is 10772213145319. The reversal of 10772213145307 is 70354131227701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10772213145307 - 2³ = 10772213145299 is a prime.

It is a super-2 number, since 2×10772213145307² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10772213145301) 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 7 ways as a sum of consecutive naturals, for example, 3737869 + ... + 5959537.

It is an arithmetic number, because the mean of its divisors is an integer number (1356842740770).

Almost surely, 2^{10772213145307} is an apocalyptic number.

10772213145307 is a deficient number, since it is larger than the sum of its proper divisors (82528780853).

10772213145307 is a wasteful number, since it uses less digits than its factorization.

10772213145307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258813.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 10772213145307 in words is "ten trillion, seven hundred seventy-two billion, two hundred thirteen million, one hundred forty-five thousand, three hundred seven".