10196282880 has 480 divisors, whose sum is σ = 40691109888. Its totient is φ = 2311372800.

The previous prime is 10196282849. The next prime is 10196282893. The reversal of 10196282880 is 8828269101.

It is a happy number.

10196282880 is a `hidden beast` number, since 1 + 0 + 19 + 628 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30804315 + ... + 30804645.

Almost surely, 2^10196282880 is an apocalyptic number.

10196282880 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 10196282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345554944).

10196282880 is an abundant number, since it is smaller than the sum of its proper divisors (30494827008).

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

10196282880 is a wasteful number, since it uses less digits than its factorization.

10196282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10196282880 in words is "ten billion, one hundred ninety-six million, two hundred eighty-two thousand, eight hundred eighty".