10382080000 has 120 divisors (see below), whose sum is σ = 25943757840. Its totient is φ = 4152320000.

The previous prime is 10382079977. The next prime is 10382080019. The reversal of 10382080000 is 8028301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1275945 + ... + 1284055.

It is an arithmetic number, because the mean of its divisors is an integer number (216197982).

Almost surely, 2^10382080000 is an apocalyptic number.

10382080000 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 10382080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971878920).

10382080000 is an abundant number, since it is smaller than the sum of its proper divisors (15561677840).

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

10382080000 is an frugal number, since it uses more digits than its factorization.

10382080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 10382080000 in words is "ten billion, three hundred eighty-two million, eighty thousand".