10935550080 has 768 divisors, whose sum is σ = 48046602240. Its totient is φ = 2229534720.

The previous prime is 10935550079. The next prime is 10935550081. The reversal of 10935550080 is 8005553901.

It is a happy number.

10935550080 is a `hidden beast` number, since 10 + 93 + 5 + 550 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10935550079) and next prime (10935550081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10935550081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16248624 + ... + 16249296.

It is an arithmetic number, because the mean of its divisors is an integer number (62560680).

Almost surely, 2^10935550080 is an apocalyptic number.

10935550080 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 10935550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023301120).

10935550080 is an abundant number, since it is smaller than the sum of its proper divisors (37111052160).

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

10935550080 is a wasteful number, since it uses less digits than its factorization.

10935550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10935550080 in words is "ten billion, nine hundred thirty-five million, five hundred fifty thousand, eighty".