10006039198848 has 128 divisors (see below), whose sum is σ = 33136883159040. Its totient is φ = 2598971212800.

The previous prime is 10006039198823. The next prime is 10006039198861. The reversal of 10006039198848 is 84889193060001.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169174288 + ... + 169233423.

It is an arithmetic number, because the mean of its divisors is an integer number (258881899680).

Almost surely, 2^{10006039198848} is an apocalyptic number.

It is an amenable number.

10006039198848 is an abundant number, since it is smaller than the sum of its proper divisors (23130843960192).

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

10006039198848 is a wasteful number, since it uses less digits than its factorization.

10006039198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338407746 (or 338407734 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 10006039198848 in words is "ten trillion, six billion, thirty-nine million, one hundred ninety-eight thousand, eight hundred forty-eight".