2175021265536 has 512 divisors, whose sum is σ = 7544916172800. Its totient is φ = 603816726528.

The previous prime is 2175021265489. The next prime is 2175021265553. The reversal of 2175021265536 is 6355621205712.

It is a happy number.

2175021265536 is a `hidden beast` number, since 2 + 1 + 7 + 50 + 2 + 1 + 2 + 65 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2175021265491 and 2175021265500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987298611 + ... + 987300813.

It is an arithmetic number, because the mean of its divisors is an integer number (14736164400).

Almost surely, 2^{2175021265536} 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 2175021265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772458086400).

2175021265536 is an abundant number, since it is smaller than the sum of its proper divisors (5369894907264).

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

2175021265536 is a wasteful number, since it uses less digits than its factorization.

2175021265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2175021265536 in words is "two trillion, one hundred seventy-five billion, twenty-one million, two hundred sixty-five thousand, five hundred thirty-six".