10051319067804 has 288 divisors, whose sum is σ = 31531488468480. Its totient is φ = 2634037346304.

The previous prime is 10051319067781. The next prime is 10051319067841. The reversal of 10051319067804 is 40876091315001.

It is a self number, because there is not a number n which added to its sum of digits gives 10051319067804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81544332 + ... + 81667500.

It is an arithmetic number, because the mean of its divisors is an integer number (109484334960).

Almost surely, 2^{10051319067804} is an apocalyptic number.

10051319067804 is a gapful number since it is divisible by the number (14) 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 10051319067804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765744234240).

10051319067804 is an abundant number, since it is smaller than the sum of its proper divisors (21480169400676).

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

10051319067804 is a wasteful number, since it uses less digits than its factorization.

10051319067804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123689 (or 123684 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10051319067804 in words is "ten trillion, fifty-one billion, three hundred nineteen million, sixty-seven thousand, eight hundred four".