10000879217448 has 128 divisors (see below), whose sum is σ = 29409600491520. Its totient is φ = 2774161716480.

The previous prime is 10000879217437. The next prime is 10000879217449. The reversal of 10000879217448 is 84471297800001.

It is a self number, because there is not a number n which added to its sum of digits gives 10000879217448.

It is not an unprimeable number, because it can be changed into a prime (10000879217449) 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, 1140543 + ... + 4615473.

It is an arithmetic number, because the mean of its divisors is an integer number (229762503840).

Almost surely, 2^{10000879217448} 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 10000879217448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704800245760).

10000879217448 is an abundant number, since it is smaller than the sum of its proper divisors (19408721274072).

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

10000879217448 is a wasteful number, since it uses less digits than its factorization.

10000879217448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475447 (or 3475443 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 10000879217448 in words is "ten trillion, eight hundred seventy-nine million, two hundred seventeen thousand, four hundred forty-eight".