10830743280 has 960 divisors, whose sum is σ = 46797004800. Its totient is φ = 2273080320.

The previous prime is 10830743279. The next prime is 10830743317. The reversal of 10830743280 is 8234703801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152545645 + ... + 152545715.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^10830743280 is an apocalyptic number.

10830743280 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 10830743280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

10830743280 is an abundant number, since it is smaller than the sum of its proper divisors (35966261520).

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

10830743280 is a wasteful number, since it uses less digits than its factorization.

10830743280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10830743280 in words is "ten billion, eight hundred thirty million, seven hundred forty-three thousand, two hundred eighty".