1000287490800 has 240 divisors, whose sum is σ = 3451615519968. Its totient is φ = 246161817600.

The previous prime is 1000287490789. The next prime is 1000287490823. The reversal of 1000287490800 is 80947820001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101722684 + ... + 101732516.

Almost surely, 2^{1000287490800} is an apocalyptic number.

1000287490800 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 1000287490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725807759984).

1000287490800 is an abundant number, since it is smaller than the sum of its proper divisors (2451328029168).

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

1000287490800 is a wasteful number, since it uses less digits than its factorization.

1000287490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16377 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1000287490800 in words is "one trillion, two hundred eighty-seven million, four hundred ninety thousand, eight hundred".