10302327165840 has 320 divisors, whose sum is σ = 33540578979840. Its totient is φ = 2610923673600.

The previous prime is 10302327165827. The next prime is 10302327165841. The reversal of 10302327165840 is 4856172320301.

It is a super-2 number, since 2×10302327165840² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302327165792 and 10302327165801.

It is not an unprimeable number, because it can be changed into a prime (10302327165841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2080855365 + ... + 2080860315.

It is an arithmetic number, because the mean of its divisors is an integer number (104814309312).

Almost surely, 2^{10302327165840} is an apocalyptic number.

10302327165840 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 10302327165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770289489920).

10302327165840 is an abundant number, since it is smaller than the sum of its proper divisors (23238251814000).

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

10302327165840 is a wasteful number, since it uses less digits than its factorization.

10302327165840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10302327165840 in words is "ten trillion, three hundred two billion, three hundred twenty-seven million, one hundred sixty-five thousand, eight hundred forty".