10629861442200 has 2592 divisors, whose sum is σ = 50468942749680. Its totient is φ = 1970873856000.

The previous prime is 10629861442199. The next prime is 10629861442217. The reversal of 10629861442200 is 224416892601.

It is a happy number.

10629861442200 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 8 + 614 + 4 + 2 + 20 + 0 = 666.

It is a super-3 number, since 3×10629861442200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 12120708162 + ... + 12120709038.

Almost surely, 2^{10629861442200} is an apocalyptic number.

10629861442200 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 10629861442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234471374840).

10629861442200 is an abundant number, since it is smaller than the sum of its proper divisors (39839081307480).

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

10629861442200 is a wasteful number, since it uses less digits than its factorization.

10629861442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10629861442200 in words is "ten trillion, six hundred twenty-nine billion, eight hundred sixty-one million, four hundred forty-two thousand, two hundred".