147085217280 has 480 divisors, whose sum is σ = 533722277088. Its totient is φ = 38817792000.

The previous prime is 147085217219. The next prime is 147085217311. The reversal of 147085217280 is 82712580741.

147085217280 is a `hidden beast` number, since 1 + 47 + 0 + 8 + 521 + 7 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×147085217280² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62828910 + ... + 62831250.

Almost surely, 2^147085217280 is an apocalyptic number.

147085217280 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 147085217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266861138544).

147085217280 is an abundant number, since it is smaller than the sum of its proper divisors (386637059808).

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

147085217280 is an equidigital number, since it uses as much as digits as its factorization.

147085217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 147085217280 in words is "one hundred forty-seven billion, eighty-five million, two hundred seventeen thousand, two hundred eighty".