22129257987067 has 64 divisors (see below), whose sum is σ = 30072798720000. Its totient is φ = 15757200466560.

The previous prime is 22129257987043. The next prime is 22129257987073. The reversal of 22129257987067 is 76078975292122.

It is a de Polignac number, because none of the positive numbers 2^k-22129257987067 is a prime.

It is a super-2 number, since 2×22129257987067² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22129257986993 and 22129257987011.

It is not an unprimeable number, because it can be changed into a prime (22129257981067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42977184 + ... + 43489042.

It is an arithmetic number, because the mean of its divisors is an integer number (469887480000).

Almost surely, 2^{22129257987067} is an apocalyptic number.

22129257987067 is a deficient number, since it is larger than the sum of its proper divisors (7943540732933).

22129257987067 is a wasteful number, since it uses less digits than its factorization.

22129257987067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512944.

The product of its (nonzero) digits is 106686720, while the sum is 67.

The spelling of 22129257987067 in words is "twenty-two trillion, one hundred twenty-nine billion, two hundred fifty-seven million, nine hundred eighty-seven thousand, sixty-seven".