162026748531072 has 512 divisors, whose sum is σ = 494821000396800. Its totient is φ = 52160661504000.

The previous prime is 162026748531007. The next prime is 162026748531083. The reversal of 162026748531072 is 270135847620261.

162026748531072 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 2 + 67 + 48 + 531 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8295865947 + ... + 8295885477.

It is an arithmetic number, because the mean of its divisors is an integer number (966447266400).

Almost surely, 2^{162026748531072} is an apocalyptic number.

162026748531072 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 162026748531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247410500198400).

162026748531072 is an abundant number, since it is smaller than the sum of its proper divisors (332794251865728).

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

162026748531072 is a wasteful number, since it uses less digits than its factorization.

162026748531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20183 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 162026748531072 in words is "one hundred sixty-two trillion, twenty-six billion, seven hundred forty-eight million, five hundred thirty-one thousand, seventy-two".