10088048064 has 224 divisors, whose sum is σ = 29010327552. Its totient is φ = 3082240000.

The previous prime is 10088048051. The next prime is 10088048077. The reversal of 10088048064 is 46084088001.

It is an interprime number because it is at equal distance from previous prime (10088048051) and next prime (10088048077).

It is a congruent number.

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, 23405929 + ... + 23406359.

Almost surely, 2^10088048064 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 10088048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505163776).

10088048064 is an abundant number, since it is smaller than the sum of its proper divisors (18922279488).

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

10088048064 is a wasteful number, since it uses less digits than its factorization.

10088048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10088048064 in words is "ten billion, eighty-eight million, forty-eight thousand, sixty-four".