10552135020 has 192 divisors, whose sum is σ = 34809772032. Its totient is φ = 2338560000.

The previous prime is 10552135001. The next prime is 10552135057. The reversal of 10552135020 is 2053125501.

It is a happy number.

It is a super-2 number, since 2×10552135020² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1816120 + ... + 1821920.

It is an arithmetic number, because the mean of its divisors is an integer number (181300896).

Almost surely, 2^10552135020 is an apocalyptic number.

10552135020 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 10552135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404886016).

10552135020 is an abundant number, since it is smaller than the sum of its proper divisors (24257637012).

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

10552135020 is a wasteful number, since it uses less digits than its factorization.

10552135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 10552135020 in words is "ten billion, five hundred fifty-two million, one hundred thirty-five thousand, twenty".