10555248000 has 256 divisors, whose sum is σ = 38173524480. Its totient is φ = 2558720000.

The previous prime is 10555247987. The next prime is 10555248007. The reversal of 10555248000 is 84255501.

It is a super-2 number, since 2×10555248000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555248007) 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 31 ways as a sum of consecutive naturals, for example, 518005 + ... + 537995.

It is an arithmetic number, because the mean of its divisors is an integer number (149115330).

Almost surely, 2^10555248000 is an apocalyptic number.

10555248000 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 10555248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086762240).

10555248000 is an abundant number, since it is smaller than the sum of its proper divisors (27618276480).

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

10555248000 is a wasteful number, since it uses less digits than its factorization.

10555248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20034 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 10555248000 in words is "ten billion, five hundred fifty-five million, two hundred forty-eight thousand".