10813682880 has 1344 divisors, whose sum is σ = 51976544256. Its totient is φ = 2007244800.

The previous prime is 10813682861. The next prime is 10813682923. The reversal of 10813682880 is 8828631801.

10813682880 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 368 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 348828465 + ... + 348828495.

It is an arithmetic number, because the mean of its divisors is an integer number (38673024).

Almost surely, 2^10813682880 is an apocalyptic number.

10813682880 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 10813682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25988272128).

10813682880 is an abundant number, since it is smaller than the sum of its proper divisors (41162861376).

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

10813682880 is a wasteful number, since it uses less digits than its factorization.

10813682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10813682880 in words is "ten billion, eight hundred thirteen million, six hundred eighty-two thousand, eight hundred eighty".