10985046120 has 128 divisors (see below), whose sum is σ = 36639792000. Its totient is φ = 2927508480.

The previous prime is 10985046101. The next prime is 10985046197. The reversal of 10985046120 is 2164058901.

10985046120 is a `hidden beast` number, since 1 + 0 + 98 + 504 + 61 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3369051 + ... + 3372309.

It is an arithmetic number, because the mean of its divisors is an integer number (286248375).

Almost surely, 2^10985046120 is an apocalyptic number.

10985046120 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 10985046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319896000).

10985046120 is an abundant number, since it is smaller than the sum of its proper divisors (25654745880).

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

10985046120 is a wasteful number, since it uses less digits than its factorization.

10985046120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10985046120 in words is "ten billion, nine hundred eighty-five million, forty-six thousand, one hundred twenty".