10471982080 has 352 divisors, whose sum is σ = 30066336000. Its totient is φ = 3497066496.

The previous prime is 10471982071. The next prime is 10471982083. The reversal of 10471982080 is 8028917401.

It is a happy number.

It is a super-2 number, since 2×10471982080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10471982083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117662676 + ... + 117662764.

Almost surely, 2^10471982080 is an apocalyptic number.

10471982080 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 10471982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033168000).

10471982080 is an abundant number, since it is smaller than the sum of its proper divisors (19594353920).

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

10471982080 is an frugal number, since it uses more digits than its factorization.

10471982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 10471982080 in words is "ten billion, four hundred seventy-one million, nine hundred eighty-two thousand, eighty".