10052510017088 has 224 divisors, whose sum is σ = 25333747826688. Its totient is φ = 3844053964800.

The previous prime is 10052510017073. The next prime is 10052510017103. The reversal of 10052510017088 is 88071001525001.

It is an interprime number because it is at equal distance from previous prime (10052510017073) and next prime (10052510017103).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×10052510017088³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77960606 + ... + 78089442.

It is an arithmetic number, because the mean of its divisors is an integer number (113097088512).

Almost surely, 2^{10052510017088} 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 10052510017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666873913344).

10052510017088 is an abundant number, since it is smaller than the sum of its proper divisors (15281237809600).

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

10052510017088 is a wasteful number, since it uses less digits than its factorization.

10052510017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129161 (or 129151 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 38.

The spelling of 10052510017088 in words is "ten trillion, fifty-two billion, five hundred ten million, seventeen thousand, eighty-eight".