2065827109920 has 384 divisors, whose sum is σ = 7944157057536. Its totient is φ = 440478990336.

The previous prime is 2065827109901. The next prime is 2065827109933. The reversal of 2065827109920 is 299017285602.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 6294532 + ... + 6614588.

It is an arithmetic number, because the mean of its divisors is an integer number (20687909004).

Almost surely, 2^{2065827109920} is an apocalyptic number.

2065827109920 is a gapful number since it is divisible by the number (20) 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 2065827109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972078528768).

2065827109920 is an abundant number, since it is smaller than the sum of its proper divisors (5878329947616).

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

2065827109920 is a wasteful number, since it uses less digits than its factorization.

2065827109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320212 (or 320204 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 2065827109920 in words is "two trillion, sixty-five billion, eight hundred twenty-seven million, one hundred nine thousand, nine hundred twenty".