1530173587680 has 768 divisors, whose sum is σ = 5803757568000. Its totient is φ = 375135141888.

The previous prime is 1530173587673. The next prime is 1530173587681. The reversal of 1530173587680 is 867853710351.

1530173587680 is a `hidden beast` number, since 1 + 53 + 0 + 1 + 7 + 3 + 587 + 6 + 8 + 0 = 666.

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 (1530173587681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 562769361 + ... + 562772079.

It is an arithmetic number, because the mean of its divisors is an integer number (7556976000).

Almost surely, 2^{1530173587680} is an apocalyptic number.

1530173587680 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 1530173587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901878784000).

1530173587680 is an abundant number, since it is smaller than the sum of its proper divisors (4273583980320).

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

1530173587680 is a wasteful number, since it uses less digits than its factorization.

1530173587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1530173587680 in words is "one trillion, five hundred thirty billion, one hundred seventy-three million, five hundred eighty-seven thousand, six hundred eighty".