10991766240 has 864 divisors, whose sum is σ = 49126948416. Its totient is φ = 2214051840.

The previous prime is 10991766221. The next prime is 10991766241. The reversal of 10991766240 is 4266719901.

10991766240 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 17 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10991766241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21097180 + ... + 21097700.

It is an arithmetic number, because the mean of its divisors is an integer number (56859894).

Almost surely, 2^10991766240 is an apocalyptic number.

10991766240 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 10991766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563474208).

10991766240 is an abundant number, since it is smaller than the sum of its proper divisors (38135182176).

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

10991766240 is a wasteful number, since it uses less digits than its factorization.

10991766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10991766240 in words is "ten billion, nine hundred ninety-one million, seven hundred sixty-six thousand, two hundred forty".