10086709248 has 768 divisors, whose sum is σ = 39249100800. Its totient is φ = 2481684480.

The previous prime is 10086709247. The next prime is 10086709279. The reversal of 10086709248 is 84290768001.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086709247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97929165 + ... + 97929267.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 2^10086709248 is an apocalyptic number.

10086709248 is a gapful number since it is divisible by the number (18) 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 10086709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624550400).

10086709248 is an abundant number, since it is smaller than the sum of its proper divisors (29162391552).

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

10086709248 is a wasteful number, since it uses less digits than its factorization.

10086709248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10086709248 in words is "ten billion, eighty-six million, seven hundred nine thousand, two hundred forty-eight".