10553504220 has 288 divisors, whose sum is σ = 37943033856. Its totient is φ = 2323468800.

The previous prime is 10553504123. The next prime is 10553504257. The reversal of 10553504220 is 2240535501.

It is a happy number.

10553504220 is a `hidden beast` number, since 1 + 0 + 553 + 50 + 42 + 20 = 666.

10553504220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10553504220⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10584762 + ... + 10585758.

Almost surely, 2^10553504220 is an apocalyptic number.

10553504220 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 10553504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971516928).

10553504220 is an abundant number, since it is smaller than the sum of its proper divisors (27389529636).

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

10553504220 is a wasteful number, since it uses less digits than its factorization.

10553504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10553504220 in words is "ten billion, five hundred fifty-three million, five hundred four thousand, two hundred twenty".