10326748116480 has 320 divisors, whose sum is σ = 34134698239488. Its totient is φ = 2661516247040.

The previous prime is 10326748116467. The next prime is 10326748116481. The reversal of 10326748116480 is 8461184762301.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10326748116480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326748116481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33538909 + ... + 33845411.

Almost surely, 2^{10326748116480} is an apocalyptic number.

10326748116480 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 10326748116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067349119744).

10326748116480 is an abundant number, since it is smaller than the sum of its proper divisors (23807950123008).

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

10326748116480 is a wasteful number, since it uses less digits than its factorization.

10326748116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306677 (or 306661 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 10326748116480 in words is "ten trillion, three hundred twenty-six billion, seven hundred forty-eight million, one hundred sixteen thousand, four hundred eighty".