10842491520 has 320 divisors, whose sum is σ = 44253475200. Its totient is φ = 2478200832.

The previous prime is 10842491509. The next prime is 10842491563. The reversal of 10842491520 is 2519424801.

10842491520 is a `hidden beast` number, since 1 + 0 + 8 + 42 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10842491520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 347941 + ... + 377819.

It is an arithmetic number, because the mean of its divisors is an integer number (138292110).

Almost surely, 2^10842491520 is an apocalyptic number.

10842491520 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 10842491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126737600).

10842491520 is an abundant number, since it is smaller than the sum of its proper divisors (33410983680).

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

10842491520 is an equidigital number, since it uses as much as digits as its factorization.

10842491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29917 (or 29896 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10842491520 in words is "ten billion, eight hundred forty-two million, four hundred ninety-one thousand, five hundred twenty".