1063258812000 has 3840 divisors, whose sum is σ = 5424980520960. Its totient is φ = 197074944000.

The previous prime is 1063258811981. The next prime is 1063258812073. The reversal of 1063258812000 is 2188523601.

It is a happy number.

1063258812000 is a `hidden beast` number, since 1 + 0 + 63 + 2 + 588 + 12 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1063258812000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 9754667946 + ... + 9754668054.

It is an arithmetic number, because the mean of its divisors is an integer number (1412755344).

Almost surely, 2^{1063258812000} is an apocalyptic number.

1063258812000 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 1063258812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712490260480).

1063258812000 is an abundant number, since it is smaller than the sum of its proper divisors (4361721708960).

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

1063258812000 is a wasteful number, since it uses less digits than its factorization.

1063258812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1063258812000 in words is "one trillion, sixty-three billion, two hundred fifty-eight million, eight hundred twelve thousand".