11106761640 has 512 divisors, whose sum is σ = 40236134400. Its totient is φ = 2424913920.

The previous prime is 11106761629. The next prime is 11106761641. The reversal of 11106761640 is 4616760111.

It is not an unprimeable number, because it can be changed into a prime (11106761641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79904691 + ... + 79904829.

It is an arithmetic number, because the mean of its divisors is an integer number (78586200).

Almost surely, 2^11106761640 is an apocalyptic number.

11106761640 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 11106761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118067200).

11106761640 is an abundant number, since it is smaller than the sum of its proper divisors (29129372760).

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

11106761640 is a wasteful number, since it uses less digits than its factorization.

11106761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 11106761640 in words is "eleven billion, one hundred six million, seven hundred sixty-one thousand, six hundred forty".