10555107840 has 320 divisors, whose sum is σ = 37986854400. Its totient is φ = 2777628672.

The previous prime is 10555107833. The next prime is 10555107851. The reversal of 10555107840 is 4870155501.

10555107840 is a `hidden beast` number, since 10 + 55 + 510 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10555107840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10555107795 and 10555107804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459514 + ... + 5461446.

It is an arithmetic number, because the mean of its divisors is an integer number (118708920).

Almost surely, 2^10555107840 is an apocalyptic number.

10555107840 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 10555107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993427200).

10555107840 is an abundant number, since it is smaller than the sum of its proper divisors (27431746560).

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

10555107840 is an equidigital number, since it uses as much as digits as its factorization.

10555107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 10555107840 in words is "ten billion, five hundred fifty-five million, one hundred seven thousand, eight hundred forty".