11050217640 has 320 divisors, whose sum is σ = 46306719360. Its totient is φ = 2296097280.

The previous prime is 11050217627. The next prime is 11050217653. The reversal of 11050217640 is 4671205011.

It is a happy number.

11050217640 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 0 + 2 + 17 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11050217627) and next prime (11050217653).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227334 + ... + 271626.

It is an arithmetic number, because the mean of its divisors is an integer number (144708498).

Almost surely, 2^11050217640 is an apocalyptic number.

11050217640 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 11050217640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153359680).

11050217640 is an abundant number, since it is smaller than the sum of its proper divisors (35256501720).

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

11050217640 is a wasteful number, since it uses less digits than its factorization.

11050217640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44334 (or 44321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11050217640 in words is "eleven billion, fifty million, two hundred seventeen thousand, six hundred forty".