11982070872577 has 48 divisors (see below), whose sum is σ = 13864157379072. Its totient is φ = 10291011793920.

The previous prime is 11982070872559. The next prime is 11982070872631. The reversal of 11982070872577 is 77527807028911.

It is a happy number.

11982070872577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11982070872577 - 2¹⁹ = 11982070348289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11982070872547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59533488 + ... + 59734414.

It is an arithmetic number, because the mean of its divisors is an integer number (288836612064).

Almost surely, 2^{11982070872577} is an apocalyptic number.

It is an amenable number.

11982070872577 is a deficient number, since it is larger than the sum of its proper divisors (1882086506495).

11982070872577 is a wasteful number, since it uses less digits than its factorization.

11982070872577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201206 (or 201187 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 64.

The spelling of 11982070872577 in words is "eleven trillion, nine hundred eighty-two billion, seventy million, eight hundred seventy-two thousand, five hundred seventy-seven".