10648609920 has 768 divisors, whose sum is σ = 43038777600. Its totient is φ = 2496282624.

The previous prime is 10648609871. The next prime is 10648609973. The reversal of 10648609920 is 2990684601.

It is a happy number.

10648609920 is a `hidden beast` number, since 10 + 6 + 4 + 8 + 609 + 9 + 20 = 666.

It is a super-2 number, since 2×10648609920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46500366 + ... + 46500594.

It is an arithmetic number, because the mean of its divisors is an integer number (56040075).

Almost surely, 2^10648609920 is an apocalyptic number.

10648609920 is a gapful number since it is divisible by the number (10) 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 10648609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519388800).

10648609920 is an abundant number, since it is smaller than the sum of its proper divisors (32390167680).

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

10648609920 is a wasteful number, since it uses less digits than its factorization.

10648609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10648609920 in words is "ten billion, six hundred forty-eight million, six hundred nine thousand, nine hundred twenty".