1000263543840 has 1152 divisors, whose sum is σ = 3995671680000. Its totient is φ = 234205655040.

The previous prime is 1000263543823. The next prime is 1000263543941. The reversal of 1000263543840 is 483453620001.

1000263543840 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 63 + 543 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000263543795 and 1000263543804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2004535911 + ... + 2004536409.

It is an arithmetic number, because the mean of its divisors is an integer number (3468465000).

Almost surely, 2^{1000263543840} is an apocalyptic number.

1000263543840 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 1000263543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997835840000).

1000263543840 is an abundant number, since it is smaller than the sum of its proper divisors (2995408136160).

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

1000263543840 is a wasteful number, since it uses less digits than its factorization.

1000263543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1000263543840 in words is "one trillion, two hundred sixty-three million, five hundred forty-three thousand, eight hundred forty".