10648372280 has 576 divisors, whose sum is σ = 33526068480. Its totient is φ = 3019161600.

The previous prime is 10648372271. The next prime is 10648372321. The reversal of 10648372280 is 8227384601.

It is a super-2 number, since 2×10648372280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174563450 + ... + 174563510.

It is an arithmetic number, because the mean of its divisors is an integer number (58204980).

Almost surely, 2^10648372280 is an apocalyptic number.

10648372280 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 10648372280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763034240).

10648372280 is an abundant number, since it is smaller than the sum of its proper divisors (22877696200).

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

10648372280 is a wasteful number, since it uses less digits than its factorization.

10648372280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 10648372280 in words is "ten billion, six hundred forty-eight million, three hundred seventy-two thousand, two hundred eighty".