162168090525540 has 192 divisors, whose sum is σ = 550658642688000. Its totient is φ = 39294192792960.

The previous prime is 162168090525533. The next prime is 162168090525599. The reversal of 162168090525540 is 45525090861261.

162168090525540 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 6 + 8 + 0 + 90 + 5 + 2 + 5 + 540 = 666.

It is a super-3 number, since 3×162168090525540³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416951 + ... + 18806369.

It is an arithmetic number, because the mean of its divisors is an integer number (2868013764000).

Almost surely, 2^{162168090525540} is an apocalyptic number.

162168090525540 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 162168090525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275329321344000).

162168090525540 is an abundant number, since it is smaller than the sum of its proper divisors (388490552162460).

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

162168090525540 is a wasteful number, since it uses less digits than its factorization.

162168090525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391487 (or 13391479 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 162168090525540 in words is "one hundred sixty-two trillion, one hundred sixty-eight billion, ninety million, five hundred twenty-five thousand, five hundred forty".