1009056683520 has 480 divisors, whose sum is σ = 3667929737472. Its totient is φ = 265826230272.

The previous prime is 1009056683489. The next prime is 1009056683597. The reversal of 1009056683520 is 253866509001.

1009056683520 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 566 + 83 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 51622869 + ... + 51642411.

Almost surely, 2^{1009056683520} is an apocalyptic number.

1009056683520 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 1009056683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833964868736).

1009056683520 is an abundant number, since it is smaller than the sum of its proper divisors (2658873053952).

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

1009056683520 is an frugal number, since it uses more digits than its factorization.

1009056683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19664 (or 19636 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1009056683520 in words is "one trillion, nine billion, fifty-six million, six hundred eighty-three thousand, five hundred twenty".