10246758481920 has 240 divisors, whose sum is σ = 33278062442688. Its totient is φ = 2691681484800.

The previous prime is 10246758481849. The next prime is 10246758481961. The reversal of 10246758481920 is 2918485764201.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16154770 + ... + 16777070.

Almost surely, 2^{10246758481920} is an apocalyptic number.

10246758481920 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 10246758481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639031221344).

10246758481920 is an abundant number, since it is smaller than the sum of its proper divisors (23031303960768).

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

10246758481920 is an frugal number, since it uses more digits than its factorization.

10246758481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622404 (or 622378 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 10246758481920 in words is "ten trillion, two hundred forty-six billion, seven hundred fifty-eight million, four hundred eighty-one thousand, nine hundred twenty".