10321314543792 has 240 divisors, whose sum is σ = 33390986054400. Its totient is φ = 2915264217600.

The previous prime is 10321314543791. The next prime is 10321314543803. The reversal of 10321314543792 is 29734541312301.

10321314543792 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 3 + 14 + 543 + 7 + 92 = 666.

It is a super-2 number, since 2×10321314543792² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10321314543791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31527667 + ... + 31853357.

It is an arithmetic number, because the mean of its divisors is an integer number (139129108560).

Almost surely, 2^{10321314543792} is an apocalyptic number.

10321314543792 is a gapful number since it is divisible by the number (12) 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 10321314543792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695493027200).

10321314543792 is an abundant number, since it is smaller than the sum of its proper divisors (23069671510608).

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

10321314543792 is a wasteful number, since it uses less digits than its factorization.

10321314543792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326072 (or 326063 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10321314543792 in words is "ten trillion, three hundred twenty-one billion, three hundred fourteen million, five hundred forty-three thousand, seven hundred ninety-two".