10421661600 has 216 divisors, whose sum is σ = 41999499360. Its totient is φ = 2382082560.

The previous prime is 10421661587. The next prime is 10421661611. The reversal of 10421661600 is 616612401.

10421661600 is a `hidden beast` number, since 1 + 0 + 42 + 1 + 6 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×10421661600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52990 + ... + 153789.

Almost surely, 2^10421661600 is an apocalyptic number.

10421661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10421661600 is an abundant number, since it is smaller than the sum of its proper divisors (31577837760).

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

10421661600 is a wasteful number, since it uses less digits than its factorization.

10421661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206812 (or 206796 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10421661600 in words is "ten billion, four hundred twenty-one million, six hundred sixty-one thousand, six hundred".