10048071878592 has 84 divisors (see below), whose sum is σ = 29222104423848. Its totient is φ = 3044870259200.

The previous prime is 10048071878569. The next prime is 10048071878609. The reversal of 10048071878592 is 29587817084001.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216231759 + ... + 216278222.

It is an arithmetic number, because the mean of its divisors is an integer number (347882195522).

Almost surely, 2^{10048071878592} is an apocalyptic number.

10048071878592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10048071878592 is an abundant number, since it is smaller than the sum of its proper divisors (19174032545256).

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

10048071878592 is a wasteful number, since it uses less digits than its factorization.

10048071878592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432510018 (or 432509997 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 10048071878592 in words is "ten trillion, forty-eight billion, seventy-one million, eight hundred seventy-eight thousand, five hundred ninety-two".