10800003456 has 320 divisors, whose sum is σ = 35291702160. Its totient is φ = 3251404800.

The previous prime is 10800003451. The next prime is 10800003463. The reversal of 10800003456 is 65430000801.

It is a super-2 number, since 2×10800003456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800003451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32047320 + ... + 32047656.

Almost surely, 2^10800003456 is an apocalyptic number.

10800003456 is a gapful number since it is divisible by the number (16) 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 10800003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645851080).

10800003456 is an abundant number, since it is smaller than the sum of its proper divisors (24491698704).

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

10800003456 is a wasteful number, since it uses less digits than its factorization.

10800003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10800003456 in words is "ten billion, eight hundred million, three thousand, four hundred fifty-six".