10648908270 has 768 divisors, whose sum is σ = 40358062080. Its totient is φ = 1928448000.

The previous prime is 10648908269. The next prime is 10648908271. The reversal of 10648908270 is 7280984601.

It is an interprime number because it is at equal distance from previous prime (10648908269) and next prime (10648908271).

It is a super-2 number, since 2×10648908270² (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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648908271) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 259729450 + ... + 259729490.

It is an arithmetic number, because the mean of its divisors is an integer number (52549560).

Almost surely, 2^10648908270 is an apocalyptic number.

10648908270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648908270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179031040).

10648908270 is an abundant number, since it is smaller than the sum of its proper divisors (29709153810).

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

10648908270 is a wasteful number, since it uses less digits than its factorization.

10648908270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

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

The spelling of 10648908270 in words is "ten billion, six hundred forty-eight million, nine hundred eight thousand, two hundred seventy".