1005220071720 has 96 divisors (see below), whose sum is σ = 3268736190720. Its totient is φ = 267913376640.

The previous prime is 1005220071673. The next prime is 1005220071727. The reversal of 1005220071720 is 271700225001.

1005220071720 is a `hidden beast` number, since 1 + 0 + 0 + 522 + 0 + 0 + 71 + 72 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1005220071727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90976 + ... + 1420815.

It is an arithmetic number, because the mean of its divisors is an integer number (34049335320).

Almost surely, 2^{1005220071720} is an apocalyptic number.

1005220071720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005220071720 is an abundant number, since it is smaller than the sum of its proper divisors (2263516119000).

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

1005220071720 is a wasteful number, since it uses less digits than its factorization.

1005220071720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513655 (or 1513648 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 1005220071720 its reverse (271700225001), we get a palindrome (1276920296721).

The spelling of 1005220071720 in words is "one trillion, five billion, two hundred twenty million, seventy-one thousand, seven hundred twenty".