170120772864 has 216 divisors, whose sum is σ = 572501180160. Its totient is φ = 47571554304.

The previous prime is 170120772851. The next prime is 170120772901. The reversal of 170120772864 is 468277021071.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645802 + ... + 870230.

Almost surely, 2^170120772864 is an apocalyptic number.

170120772864 is a gapful number since it is divisible by the number (14) 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 170120772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286250590080).

170120772864 is an abundant number, since it is smaller than the sum of its proper divisors (402380407296).

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

170120772864 is a wasteful number, since it uses less digits than its factorization.

170120772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224505 (or 224488 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 170120772864 in words is "one hundred seventy billion, one hundred twenty million, seven hundred seventy-two thousand, eight hundred sixty-four".