10231200311360 has 224 divisors, whose sum is σ = 28129418000640. Its totient is φ = 3471886540800.

The previous prime is 10231200311359. The next prime is 10231200311471. The reversal of 10231200311360 is 6311300213201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10231200311360² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 229732295 + ... + 229776825.

Almost surely, 2^{10231200311360} is an apocalyptic number.

10231200311360 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 10231200311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064709000320).

10231200311360 is an abundant number, since it is smaller than the sum of its proper divisors (17898217689280).

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

10231200311360 is a wasteful number, since it uses less digits than its factorization.

10231200311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45605 (or 45595 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10231200311360 its reverse (6311300213201), we get a palindrome (16542500524561).

The spelling of 10231200311360 in words is "ten trillion, two hundred thirty-one billion, two hundred million, three hundred eleven thousand, three hundred sixty".