10881882360 has 256 divisors, whose sum is σ = 38009088000. Its totient is φ = 2764016640.

The previous prime is 10881882287. The next prime is 10881882391. The reversal of 10881882360 is 6328818801.

10881882360 is a `hidden beast` number, since 108 + 8 + 188 + 2 + 360 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6979261 + ... + 6980819.

It is an arithmetic number, because the mean of its divisors is an integer number (148473000).

Almost surely, 2^10881882360 is an apocalyptic number.

10881882360 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 10881882360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004544000).

10881882360 is an abundant number, since it is smaller than the sum of its proper divisors (27127205640).

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

10881882360 is a wasteful number, since it uses less digits than its factorization.

10881882360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

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

The spelling of 10881882360 in words is "ten billion, eight hundred eighty-one million, eight hundred eighty-two thousand, three hundred sixty".