162852638192640 has 2640 divisors, whose sum is σ = 665419471561152. Its totient is φ = 38081448345600.

The previous prime is 162852638192597. The next prime is 162852638192641. The reversal of 162852638192640 is 46291836258261.

162852638192640 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 526 + 3 + 81 + 9 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162852638192641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 530464619367 + ... + 530464619673.

Almost surely, 2^{162852638192640} is an apocalyptic number.

162852638192640 is a gapful number since it is divisible by the number (10) 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 162852638192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332709735780576).

162852638192640 is an abundant number, since it is smaller than the sum of its proper divisors (502566833368512).

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

162852638192640 is an equidigital number, since it uses as much as digits as its factorization.

162852638192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 162852638192640 in words is "one hundred sixty-two trillion, eight hundred fifty-two billion, six hundred thirty-eight million, one hundred ninety-two thousand, six hundred forty".