10509238080 has 1120 divisors, whose sum is σ = 44611015680. Its totient is φ = 2322432000.

The previous prime is 10509238063. The next prime is 10509238097. The reversal of 10509238080 is 8083290501.

It is an interprime number because it is at equal distance from previous prime (10509238063) and next prime (10509238097).

It is a super-2 number, since 2×10509238080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 256322860 + ... + 256322900.

It is an arithmetic number, because the mean of its divisors is an integer number (39831264).

Almost surely, 2^10509238080 is an apocalyptic number.

10509238080 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 10509238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305507840).

10509238080 is an abundant number, since it is smaller than the sum of its proper divisors (34101777600).

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

10509238080 is a wasteful number, since it uses less digits than its factorization.

10509238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10509238080 in words is "ten billion, five hundred nine million, two hundred thirty-eight thousand, eighty".