10505646400 has 84 divisors (see below), whose sum is σ = 27371142108. Its totient is φ = 3955056640.

The previous prime is 10505646337. The next prime is 10505646413. The reversal of 10505646400 is 464650501.

It can be written as a sum of positive squares in 6 ways, for example, as 277155904 + 10228490496 = 16648^2 + 101136^2 .

It is a super-2 number, since 2×10505646400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165919 + ... + 220318.

Almost surely, 2^10505646400 is an apocalyptic number.

10505646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505646400 is an abundant number, since it is smaller than the sum of its proper divisors (16865495708).

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

10505646400 is a wasteful number, since it uses less digits than its factorization.

10505646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386276 (or 386261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 10505646400 in words is "ten billion, five hundred five million, six hundred forty-six thousand, four hundred".