10763853082920 has 576 divisors, whose sum is σ = 40937106974400. Its totient is φ = 2445638952960.

The previous prime is 10763853082897. The next prime is 10763853082963. The reversal of 10763853082920 is 2928035836701.

10763853082920 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 8 + 530 + 82 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4686047212 + ... + 4686049508.

It is an arithmetic number, because the mean of its divisors is an integer number (71071366275).

Almost surely, 2^{10763853082920} is an apocalyptic number.

10763853082920 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 10763853082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468553487200).

10763853082920 is an abundant number, since it is smaller than the sum of its proper divisors (30173253891480).

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

10763853082920 is a wasteful number, since it uses less digits than its factorization.

10763853082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10763853082920 in words is "ten trillion, seven hundred sixty-three billion, eight hundred fifty-three million, eighty-two thousand, nine hundred twenty".