10312883179480 has 256 divisors, whose sum is σ = 27326918108160. Its totient is φ = 3430037145600.

The previous prime is 10312883179477. The next prime is 10312883179517. The reversal of 10312883179480 is 8497138821301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364695102 + ... + 364723378.

It is an arithmetic number, because the mean of its divisors is an integer number (106745773860).

Almost surely, 2^{10312883179480} is an apocalyptic number.

10312883179480 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 10312883179480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663459054080).

10312883179480 is an abundant number, since it is smaller than the sum of its proper divisors (17014034928680).

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

10312883179480 is a wasteful number, since it uses less digits than its factorization.

10312883179480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28650 (or 28646 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 10312883179480 in words is "ten trillion, three hundred twelve billion, eight hundred eighty-three million, one hundred seventy-nine thousand, four hundred eighty".