10630568254800 has 720 divisors, whose sum is σ = 39427597097280. Its totient is φ = 2433070202880.

The previous prime is 10630568254739. The next prime is 10630568254841. The reversal of 10630568254800 is 845286503601.

It is a happy number.

It is a super-2 number, since 2×10630568254800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10630568254800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374182996 + ... + 374211404.

It is an arithmetic number, because the mean of its divisors is an integer number (54760551524).

Almost surely, 2^{10630568254800} is an apocalyptic number.

10630568254800 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 10630568254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713798548640).

10630568254800 is an abundant number, since it is smaller than the sum of its proper divisors (28797028842480).

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

10630568254800 is a wasteful number, since it uses less digits than its factorization.

10630568254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28560 (or 28532 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 10630568254800 in words is "ten trillion, six hundred thirty billion, five hundred sixty-eight million, two hundred fifty-four thousand, eight hundred".