10327600323840 has 288 divisors, whose sum is σ = 33078568723200. Its totient is φ = 2746123223040.

The previous prime is 10327600323823. The next prime is 10327600323883. The reversal of 10327600323840 is 4832300672301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2740141476 + ... + 2740145244.

It is an arithmetic number, because the mean of its divisors is an integer number (114856141400).

Almost surely, 2^{10327600323840} is an apocalyptic number.

10327600323840 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 10327600323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539284361600).

10327600323840 is an abundant number, since it is smaller than the sum of its proper divisors (22750968399360).

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

10327600323840 is a wasteful number, since it uses less digits than its factorization.

10327600323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10327600323840 in words is "ten trillion, three hundred twenty-seven billion, six hundred million, three hundred twenty-three thousand, eight hundred forty".