1825917007680 has 336 divisors, whose sum is σ = 6526191672000. Its totient is φ = 485925101568.

The previous prime is 1825917007657. The next prime is 1825917007697. The reversal of 1825917007680 is 867007195281.

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

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, 38778712 + ... + 38825768.

It is an arithmetic number, because the mean of its divisors is an integer number (19423189500).

Almost surely, 2^{1825917007680} is an apocalyptic number.

1825917007680 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 1825917007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263095836000).

1825917007680 is an abundant number, since it is smaller than the sum of its proper divisors (4700274664320).

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

1825917007680 is an equidigital number, since it uses as much as digits as its factorization.

1825917007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47588 (or 47566 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 1825917007680 in words is "one trillion, eight hundred twenty-five billion, nine hundred seventeen million, seven thousand, six hundred eighty".