167827116672 has 160 divisors (see below), whose sum is σ = 500650144500. Its totient is φ = 55808040960.

The previous prime is 167827116671. The next prime is 167827116683. The reversal of 167827116672 is 276611728761.

It can be written as a sum of positive squares in 2 ways, for example, as 97508805696 + 70318310976 = 312264^2 + 265176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (167827116671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4345704 + ... + 4384152.

Almost surely, 2^167827116672 is an apocalyptic number.

167827116672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167827116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250325072250).

167827116672 is an abundant number, since it is smaller than the sum of its proper divisors (332823027828).

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

167827116672 is an equidigital number, since it uses as much as digits as its factorization.

167827116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38896 (or 38875 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 167827116672 in words is "one hundred sixty-seven billion, eight hundred twenty-seven million, one hundred sixteen thousand, six hundred seventy-two".