10289992826880 has 2160 divisors, whose sum is σ = 42350598347904. Its totient is φ = 2384965140480.

The previous prime is 10289992826857. The next prime is 10289992826909. The reversal of 10289992826880 is 8862829998201.

10289992826880 is a `hidden beast` number, since 1 + 0 + 289 + 9 + 9 + 2 + 8 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10289992826799 and 10289992826808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 278107914222 + ... + 278107914258.

Almost surely, 2^{10289992826880} is an apocalyptic number.

10289992826880 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 10289992826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175299173952).

10289992826880 is an abundant number, since it is smaller than the sum of its proper divisors (32060605521024).

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

10289992826880 is an frugal number, since it uses more digits than its factorization.

10289992826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 10289992826880 in words is "ten trillion, two hundred eighty-nine billion, nine hundred ninety-two million, eight hundred twenty-six thousand, eight hundred eighty".