10700666167200 has 144 divisors (see below), whose sum is σ = 34834702686336. Its totient is φ = 2853180467200.

The previous prime is 10700666167199. The next prime is 10700666167201. The reversal of 10700666167200 is 276166600701.

It is an interprime number because it is at equal distance from previous prime (10700666167199) and next prime (10700666167201).

It is a super-2 number, since 2×10700666167200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10700666167201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20825380 + ... + 21333020.

It is an arithmetic number, because the mean of its divisors is an integer number (241907657544).

Almost surely, 2^{10700666167200} is an apocalyptic number.

10700666167200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10700666167200 is an abundant number, since it is smaller than the sum of its proper divisors (24134036519136).

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

10700666167200 is a wasteful number, since it uses less digits than its factorization.

10700666167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516447 (or 516434 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 10700666167200 in words is "ten trillion, seven hundred billion, six hundred sixty-six million, one hundred sixty-seven thousand, two hundred".