1063081879200 has 864 divisors, whose sum is σ = 4199587584192. Its totient is φ = 250822656000.

The previous prime is 1063081879199. The next prime is 1063081879217. The reversal of 1063081879200 is 29781803601.

1063081879200 is a `hidden beast` number, since 1 + 0 + 630 + 8 + 1 + 8 + 7 + 9 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1063081879200² (a number of 25 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 1842429312 + ... + 1842429888.

It is an arithmetic number, because the mean of its divisors is an integer number (4860633778).

Almost surely, 2^{1063081879200} is an apocalyptic number.

1063081879200 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 1063081879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099793792096).

1063081879200 is an abundant number, since it is smaller than the sum of its proper divisors (3136505704992).

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

1063081879200 is a wasteful number, since it uses less digits than its factorization.

1063081879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1063081879200 in words is "one trillion, sixty-three billion, eighty-one million, eight hundred seventy-nine thousand, two hundred".