2170068864516 has 720 divisors, whose sum is σ = 7208016076800. Its totient is φ = 565477718400.

The previous prime is 2170068864493. The next prime is 2170068864553. The reversal of 2170068864516 is 6154688600712.

2170068864516 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 0 + 68 + 8 + 64 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2234879911 + ... + 2234880881.

It is an arithmetic number, because the mean of its divisors is an integer number (10011133440).

Almost surely, 2^{2170068864516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170068864516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604008038400).

2170068864516 is an abundant number, since it is smaller than the sum of its proper divisors (5037947212284).

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

2170068864516 is a wasteful number, since it uses less digits than its factorization.

2170068864516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2170068864516 in words is "two trillion, one hundred seventy billion, sixty-eight million, eight hundred sixty-four thousand, five hundred sixteen".