170480950778880 has 3168 divisors, whose sum is σ = 719223544166400. Its totient is φ = 37207664492544.

The previous prime is 170480950778867. The next prime is 170480950778903. The reversal of 170480950778880 is 88877059084071.

170480950778880 is a `hidden beast` number, since 1 + 7 + 0 + 48 + 0 + 9 + 507 + 78 + 8 + 8 + 0 = 666.

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 = 170480950778799 and 170480950778808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1020844016557 + ... + 1020844016723.

Almost surely, 2^{170480950778880} is an apocalyptic number.

170480950778880 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 170480950778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359611772083200).

170480950778880 is an abundant number, since it is smaller than the sum of its proper divisors (548742593387520).

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

170480950778880 is a wasteful number, since it uses less digits than its factorization.

170480950778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 72.

The spelling of 170480950778880 in words is "one hundred seventy trillion, four hundred eighty billion, nine hundred fifty million, seven hundred seventy-eight thousand, eight hundred eighty".