10985283928080 has 4320 divisors, whose sum is σ = 54482242913280. Its totient is φ = 1961990553600.

The previous prime is 10985283928079. The next prime is 10985283928109. The reversal of 10985283928080 is 8082938258901.

10985283928080 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 528 + 3 + 9 + 28 + 0 + 80 = 666.

It is a super-2 number, since 2×10985283928080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10985283927999 and 10985283928017.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 42744295312 + ... + 42744295568.

It is an arithmetic number, because the mean of its divisors is an integer number (12611630304).

Almost surely, 2^{10985283928080} is an apocalyptic number.

10985283928080 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 10985283928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241121456640).

10985283928080 is an abundant number, since it is smaller than the sum of its proper divisors (43496958985200).

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

10985283928080 is a wasteful number, since it uses less digits than its factorization.

10985283928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10985283928080 in words is "ten trillion, nine hundred eighty-five billion, two hundred eighty-three million, nine hundred twenty-eight thousand, eighty".