1063787590800 has 480 divisors, whose sum is σ = 4231267931520. Its totient is φ = 251596800000.

The previous prime is 1063787590777. The next prime is 1063787590837. The reversal of 1063787590800 is 80957873601.

1063787590800 is a `hidden beast` number, since 10 + 6 + 37 + 8 + 7 + 590 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1063787590800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 4761600 + ... + 4980000.

It is an arithmetic number, because the mean of its divisors is an integer number (8815141524).

Almost surely, 2^{1063787590800} is an apocalyptic number.

1063787590800 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 1063787590800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115633965760).

1063787590800 is an abundant number, since it is smaller than the sum of its proper divisors (3167480340720).

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

1063787590800 is a wasteful number, since it uses less digits than its factorization.

1063787590800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218480 (or 218463 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1063787590800 in words is "one trillion, sixty-three billion, seven hundred eighty-seven million, five hundred ninety thousand, eight hundred".