10289254840800 has 144 divisors (see below), whose sum is σ = 36067795732080. Its totient is φ = 2532739645440.

The previous prime is 10289254840751. The next prime is 10289254840811. The reversal of 10289254840800 is 804845298201.

10289254840800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164860705 + ... + 164923104.

It is an arithmetic number, because the mean of its divisors is an integer number (250470803695).

Almost surely, 2^{10289254840800} is an apocalyptic number.

10289254840800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10289254840800 is an abundant number, since it is smaller than the sum of its proper divisors (25778540891280).

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

10289254840800 is a wasteful number, since it uses less digits than its factorization.

10289254840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329783845 (or 329783832 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 10289254840800 in words is "ten trillion, two hundred eighty-nine billion, two hundred fifty-four million, eight hundred forty thousand, eight hundred".