11745577760 has 48 divisors (see below), whose sum is σ = 31713062976. Its totient is φ = 4027054848.

The previous prime is 11745577759. The next prime is 11745577801. The reversal of 11745577760 is 6777554711.

It is a junction number, because it is equal to n+sod(n) for n = 11745577699 and 11745577708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5242442 + ... + 5244681.

It is an arithmetic number, because the mean of its divisors is an integer number (660688812).

Almost surely, 2^11745577760 is an apocalyptic number.

11745577760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11745577760 is an abundant number, since it is smaller than the sum of its proper divisors (19967485216).

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

11745577760 is a wasteful number, since it uses less digits than its factorization.

11745577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487145 (or 10487137 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 50.

The spelling of 11745577760 in words is "eleven billion, seven hundred forty-five million, five hundred seventy-seven thousand, seven hundred sixty".