10343256000 has 896 divisors, whose sum is σ = 44277442560. Its totient is φ = 2064384000.

The previous prime is 10343255981. The next prime is 10343256061. The reversal of 10343256000 is 65234301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 53591904 + ... + 53592096.

Almost surely, 2^10343256000 is an apocalyptic number.

10343256000 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 10343256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138721280).

10343256000 is an abundant number, since it is smaller than the sum of its proper divisors (33934186560).

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

10343256000 is a wasteful number, since it uses less digits than its factorization.

10343256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 10343256000 in words is "ten billion, three hundred forty-three million, two hundred fifty-six thousand".