1002170420160 has 896 divisors, whose sum is σ = 3997835218944. Its totient is φ = 207081308160.

The previous prime is 1002170420143. The next prime is 1002170420183. The reversal of 1002170420160 is 610240712001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1002170420160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065005290 + ... + 1065006230.

It is an arithmetic number, because the mean of its divisors is an integer number (4461869664).

Almost surely, 2^{1002170420160} is an apocalyptic number.

1002170420160 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 1002170420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998917609472).

1002170420160 is an abundant number, since it is smaller than the sum of its proper divisors (2995664798784).

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

1002170420160 is a wasteful number, since it uses less digits than its factorization.

1002170420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 1002170420160 in words is "one trillion, two billion, one hundred seventy million, four hundred twenty thousand, one hundred sixty".