1009894780800 has 672 divisors, whose sum is σ = 3779830262880. Its totient is φ = 266469212160.

The previous prime is 1009894780799. The next prime is 1009894780801. The reversal of 1009894780800 is 80874989001.

1009894780800 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 9 + 478 + 0 + 80 + 0 = 666.

1009894780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1009894780799) and next prime (1009894780801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009894780801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 226279369 + ... + 226283831.

It is an arithmetic number, because the mean of its divisors is an integer number (5624747415).

Almost surely, 2^{1009894780800} is an apocalyptic number.

1009894780800 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 1009894780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889915131440).

1009894780800 is an abundant number, since it is smaller than the sum of its proper divisors (2769935482080).

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

1009894780800 is an frugal number, since it uses more digits than its factorization.

1009894780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1009894780800 in words is "one trillion, nine billion, eight hundred ninety-four million, seven hundred eighty thousand, eight hundred".