162827760384 has 378 divisors, whose sum is σ = 517829014220. Its totient is φ = 51066298368.

The previous prime is 162827760383. The next prime is 162827760409. The reversal of 162827760384 is 483067728261.

162827760384 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 27 + 7 + 603 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162827760384.

It is not an unprimeable number, because it can be changed into a prime (162827760383) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 53932827 + ... + 53935845.

Almost surely, 2^162827760384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162827760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258914507110).

162827760384 is an abundant number, since it is smaller than the sum of its proper divisors (355001253836).

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

162827760384 is an frugal number, since it uses more digits than its factorization.

162827760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 162827760384 in words is "one hundred sixty-two billion, eight hundred twenty-seven million, seven hundred sixty thousand, three hundred eighty-four".