10419604597248 has 480 divisors, whose sum is σ = 34915830660480. Its totient is φ = 2702846361600.

The previous prime is 10419604597247. The next prime is 10419604597273. The reversal of 10419604597248 is 84279540691401.

It is a junction number, because it is equal to n+sod(n) for n = 10419604597191 and 10419604597200.

It is not an unprimeable number, because it can be changed into a prime (10419604597247) 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, 1078517538 + ... + 1078527198.

It is an arithmetic number, because the mean of its divisors is an integer number (72741313876).

Almost surely, 2^{10419604597248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10419604597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457915330240).

10419604597248 is an abundant number, since it is smaller than the sum of its proper divisors (24496226063232).

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

10419604597248 is an equidigital number, since it uses as much as digits as its factorization.

10419604597248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 10419604597248 in words is "ten trillion, four hundred nineteen billion, six hundred four million, five hundred ninety-seven thousand, two hundred forty-eight".