10190048688 has 240 divisors, whose sum is σ = 31167052800. Its totient is φ = 3096092160.

The previous prime is 10190048683. The next prime is 10190048699. The reversal of 10190048688 is 88684009101.

10190048688 is a `hidden beast` number, since 1 + 0 + 1 + 90 + 0 + 486 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (10190048683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26886483 + ... + 26886861.

It is an arithmetic number, because the mean of its divisors is an integer number (129862720).

Almost surely, 2^10190048688 is an apocalyptic number.

10190048688 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 10190048688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583526400).

10190048688 is an abundant number, since it is smaller than the sum of its proper divisors (20977004112).

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

10190048688 is a wasteful number, since it uses less digits than its factorization.

10190048688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10190048688 in words is "ten billion, one hundred ninety million, forty-eight thousand, six hundred eighty-eight".