667511742160053 has 64 divisors (see below), whose sum is σ = 1130428535531520. Its totient is φ = 381350942977536.

The previous prime is 667511742160037. The next prime is 667511742160069. The reversal of 667511742160053 is 350061247115766.

667511742160053 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 1 + 1 + 7 + 4 + 21 + 600 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (667511742160037) and next prime (667511742160069).

It is not a de Polignac number, because 667511742160053 - 2⁴ = 667511742160037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667511742160093) 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, 22289755026 + ... + 22289784972.

It is an arithmetic number, because the mean of its divisors is an integer number (17662945867680).

Almost surely, 2^{667511742160053} is an apocalyptic number.

667511742160053 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

667511742160053 is a deficient number, since it is larger than the sum of its proper divisors (462916793371467).

667511742160053 is a wasteful number, since it uses less digits than its factorization.

667511742160053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52103 (or 52097 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 667511742160053 in words is "six hundred sixty-seven trillion, five hundred eleven billion, seven hundred forty-two million, one hundred sixty thousand, fifty-three".