11405757660 has 144 divisors (see below), whose sum is σ = 35245693728. Its totient is φ = 2753822720.

The previous prime is 11405757617. The next prime is 11405757667. The reversal of 11405757660 is 6675750411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405757667) 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, 1862764 + ... + 1868876.

It is an arithmetic number, because the mean of its divisors is an integer number (244761762).

Almost surely, 2^11405757660 is an apocalyptic number.

11405757660 is a gapful number since it is divisible by the number (10) 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 11405757660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622846864).

11405757660 is an abundant number, since it is smaller than the sum of its proper divisors (23839936068).

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

11405757660 is a wasteful number, since it uses less digits than its factorization.

11405757660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 11405757660 in words is "eleven billion, four hundred five million, seven hundred fifty-seven thousand, six hundred sixty".