10552481600 has 84 divisors (see below), whose sum is σ = 26599175148. Its totient is φ = 4118016000.

The previous prime is 10552481593. The next prime is 10552481603. The reversal of 10552481600 is 618425501.

It can be written as a sum of positive squares in 6 ways, for example, as 499611904 + 10052869696 = 22352^2 + 100264^2 .

It is a super-2 number, since 2×10552481600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552481603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14831 + ... + 146030.

It is an arithmetic number, because the mean of its divisors is an integer number (316656847).

Almost surely, 2^10552481600 is an apocalyptic number.

10552481600 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 10552481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299587574).

10552481600 is an abundant number, since it is smaller than the sum of its proper divisors (16046693548).

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

10552481600 is a wasteful number, since it uses less digits than its factorization.

10552481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160924 (or 160909 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 10552481600 in words is "ten billion, five hundred fifty-two million, four hundred eighty-one thousand, six hundred".