170879921556480 has 2112 divisors, whose sum is σ = 664305388830720. Its totient is φ = 40437389721600.

The previous prime is 170879921556473. The next prime is 170879921556523. The reversal of 170879921556480 is 84655129978071.

It is a happy number.

170879921556480 is a `hidden beast` number, since 1 + 7 + 0 + 8 + 7 + 9 + 9 + 21 + 556 + 48 + 0 = 666.

It is a super-2 number, since 2×170879921556480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 170879921556399 and 170879921556408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123736365390 + ... + 123736366770.

Almost surely, 2^{170879921556480} is an apocalyptic number.

170879921556480 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 170879921556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332152694415360).

170879921556480 is an abundant number, since it is smaller than the sum of its proper divisors (493425467274240).

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

170879921556480 is a wasteful number, since it uses less digits than its factorization.

170879921556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 170879921556480 in words is "one hundred seventy trillion, eight hundred seventy-nine billion, nine hundred twenty-one million, five hundred fifty-six thousand, four hundred eighty".