1017804580920 has 128 divisors (see below), whose sum is σ = 3394872129600. Its totient is φ = 271239340032.

The previous prime is 1017804580913. The next prime is 1017804580927. The reversal of 1017804580920 is 290854087101.

1017804580920 is a `hidden beast` number, since 1 + 0 + 178 + 0 + 458 + 0 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1017804580913) and next prime (1017804580927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017804580927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373824 + ... + 1980656.

Almost surely, 2^{1017804580920} is an apocalyptic number.

1017804580920 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 1017804580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697436064800).

1017804580920 is an abundant number, since it is smaller than the sum of its proper divisors (2377067548680).

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

1017804580920 is a wasteful number, since it uses less digits than its factorization.

1017804580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608406 (or 608396 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1017804580920 in words is "one trillion, seventeen billion, eight hundred four million, five hundred eighty thousand, nine hundred twenty".