10405967880 has 256 divisors, whose sum is σ = 40970188800. Its totient is φ = 2048440320.

The previous prime is 10405967863. The next prime is 10405967893. The reversal of 10405967880 is 8876950401.

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, 145924 + ... + 205196.

It is an arithmetic number, because the mean of its divisors is an integer number (160039800).

Almost surely, 2^10405967880 is an apocalyptic number.

10405967880 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 10405967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485094400).

10405967880 is an abundant number, since it is smaller than the sum of its proper divisors (30564220920).

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

10405967880 is a wasteful number, since it uses less digits than its factorization.

10405967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59324 (or 59320 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 10405967880 in words is "ten billion, four hundred five million, nine hundred sixty-seven thousand, eight hundred eighty".