7869050385000 has 960 divisors, whose sum is σ = 30539374272000. Its totient is φ = 1680456960000.

The previous prime is 7869050384999. The next prime is 7869050385019. The reversal of 7869050385000 is 5830509687.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 660759046 + ... + 660770954.

It is an arithmetic number, because the mean of its divisors is an integer number (31811848200).

Almost surely, 2^{7869050385000} is an apocalyptic number.

7869050385000 is a gapful number since it is divisible by the number (70) 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 7869050385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269687136000).

7869050385000 is an abundant number, since it is smaller than the sum of its proper divisors (22670323887000).

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

7869050385000 is a wasteful number, since it uses less digits than its factorization.

7869050385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 7869050385000 in words is "seven trillion, eight hundred sixty-nine billion, fifty million, three hundred eighty-five thousand".