10235104880 has 320 divisors, whose sum is σ = 33345865728. Its totient is φ = 2816225280.

The previous prime is 10235104777. The next prime is 10235104933. The reversal of 10235104880 is 8840153201.

It is a super-3 number, since 3×10235104880³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1839062 + ... + 1844618.

Almost surely, 2^10235104880 is an apocalyptic number.

10235104880 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 10235104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672932864).

10235104880 is an abundant number, since it is smaller than the sum of its proper divisors (23110760848).

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

10235104880 is a wasteful number, since it uses less digits than its factorization.

10235104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 10235104880 in words is "ten billion, two hundred thirty-five million, one hundred four thousand, eight hundred eighty".