10405053960 has 192 divisors, whose sum is σ = 36367185600. Its totient is φ = 2374654464.

The previous prime is 10405053941. The next prime is 10405053977. The reversal of 10405053960 is 6935050401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6426031 + ... + 6427649.

It is an arithmetic number, because the mean of its divisors is an integer number (189412425).

Almost surely, 2^10405053960 is an apocalyptic number.

10405053960 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 10405053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183592800).

10405053960 is an abundant number, since it is smaller than the sum of its proper divisors (25962131640).

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

10405053960 is a wasteful number, since it uses less digits than its factorization.

10405053960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 10405053960 in words is "ten billion, four hundred five million, fifty-three thousand, nine hundred sixty".