10307855880 has 576 divisors, whose sum is σ = 41266068480. Its totient is φ = 2267481600.

The previous prime is 10307855869. The next prime is 10307855893. The reversal of 10307855880 is 8855870301.

It is a happy number.

10307855880 is a `hidden beast` number, since 10 + 3 + 0 + 7 + 8 + 558 + 80 = 666.

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 143 ways as a sum of consecutive naturals, for example, 56949390 + ... + 56949570.

It is an arithmetic number, because the mean of its divisors is an integer number (71642480).

Almost surely, 2^10307855880 is an apocalyptic number.

10307855880 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 10307855880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633034240).

10307855880 is an abundant number, since it is smaller than the sum of its proper divisors (30958212600).

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

10307855880 is an equidigital number, since it uses as much as digits as its factorization.

10307855880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10307855880 in words is "ten billion, three hundred seven million, eight hundred fifty-five thousand, eight hundred eighty".