10819176480 has 576 divisors, whose sum is σ = 44663996160. Its totient is φ = 2469035520.

The previous prime is 10819176469. The next prime is 10819176559. The reversal of 10819176480 is 8467191801.

It is a happy number.

10819176480 is a `hidden beast` number, since 1 + 0 + 81 + 91 + 7 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 17145765 + ... + 17146395.

It is an arithmetic number, because the mean of its divisors is an integer number (77541660).

Almost surely, 2^10819176480 is an apocalyptic number.

10819176480 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 10819176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331998080).

10819176480 is an abundant number, since it is smaller than the sum of its proper divisors (33844819680).

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

10819176480 is an frugal number, since it uses more digits than its factorization.

10819176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10819176480 in words is "ten billion, eight hundred nineteen million, one hundred seventy-six thousand, four hundred eighty".