162682564855680 has 512 divisors, whose sum is σ = 590285241216000. Its totient is φ = 42321487896576.

The previous prime is 162682564855649. The next prime is 162682564855687. The reversal of 162682564855680 is 86558465286261.

162682564855680 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 8 + 2 + 5 + 64 + 8 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162682564855599 and 162682564855608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162682564855687) 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, 611388906 + ... + 611654934.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900861750).

Almost surely, 2^{162682564855680} is an apocalyptic number.

162682564855680 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 162682564855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142620608000).

162682564855680 is an abundant number, since it is smaller than the sum of its proper divisors (427602676360320).

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

162682564855680 is a wasteful number, since it uses less digits than its factorization.

162682564855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266923 (or 266905 counting only the distinct ones).

The product of its (nonzero) digits is 1327104000, while the sum is 72.

The spelling of 162682564855680 in words is "one hundred sixty-two trillion, six hundred eighty-two billion, five hundred sixty-four million, eight hundred fifty-five thousand, six hundred eighty".