10335755880 has 384 divisors, whose sum is σ = 37054817280. Its totient is φ = 2487214080.

The previous prime is 10335755867. The next prime is 10335755891. The reversal of 10335755880 is 8855753301.

10335755880 is a `hidden beast` number, since 10 + 3 + 3 + 5 + 7 + 558 + 80 = 666.

It is a super-2 number, since 2×10335755880² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29785867 + ... + 29786213.

It is an arithmetic number, because the mean of its divisors is an integer number (96496920).

Almost surely, 2^10335755880 is an apocalyptic number.

10335755880 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 10335755880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527408640).

10335755880 is an abundant number, since it is smaller than the sum of its proper divisors (26719061400).

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

10335755880 is a wasteful number, since it uses less digits than its factorization.

10335755880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 10335755880 in words is "ten billion, three hundred thirty-five million, seven hundred fifty-five thousand, eight hundred eighty".