10556055040 has 160 divisors (see below), whose sum is σ = 25893030240. Its totient is φ = 4126408704.

The previous prime is 10556055023. The next prime is 10556055047. The reversal of 10556055040 is 4055065501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10556055040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556054993 and 10556055011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556055047) 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 15 ways as a sum of consecutive naturals, for example, 24378664 + ... + 24379096.

It is an arithmetic number, because the mean of its divisors is an integer number (161831439).

Almost surely, 2^10556055040 is an apocalyptic number.

10556055040 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 10556055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12946515120).

10556055040 is an abundant number, since it is smaller than the sum of its proper divisors (15336975200).

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

10556055040 is an equidigital number, since it uses as much as digits as its factorization.

10556055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 10556055040 in words is "ten billion, five hundred fifty-six million, fifty-five thousand, forty".