10190919648 has 480 divisors, whose sum is σ = 35574940800. Its totient is φ = 2532031488.

The previous prime is 10190919623. The next prime is 10190919653. The reversal of 10190919648 is 84691909101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10190919597 and 10190919606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56932423 + ... + 56932601.

It is an arithmetic number, because the mean of its divisors is an integer number (74114460).

Almost surely, 2^10190919648 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 10190919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787470400).

10190919648 is an abundant number, since it is smaller than the sum of its proper divisors (25384021152).

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

10190919648 is a wasteful number, since it uses less digits than its factorization.

10190919648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 10190919648 in words is "ten billion, one hundred ninety million, nine hundred nineteen thousand, six hundred forty-eight".