164019056025600 has 588 divisors, whose sum is σ = 609835230004266. Its totient is φ = 43738375127040.

The previous prime is 164019056025497. The next prime is 164019056025611. The reversal of 164019056025600 is 6520650910461.

164019056025600 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 1 + 9 + 0 + 560 + 25 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 159952477261824 + 4066578763776 = 12647232^2 + 2016576^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 148749904 + ... + 149848496.

Almost surely, 2^{164019056025600} is an apocalyptic number.

164019056025600 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 164019056025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304917615002133).

164019056025600 is an abundant number, since it is smaller than the sum of its proper divisors (445816173978666).

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

164019056025600 is an frugal number, since it uses more digits than its factorization.

164019056025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098647 (or 1098603 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 164019056025600 in words is "one hundred sixty-four trillion, nineteen billion, fifty-six million, twenty-five thousand, six hundred".