20172830146560 has 2464 divisors, whose sum is σ = 92420963288640. Its totient is φ = 4109478395904.

The previous prime is 20172830146481. The next prime is 20172830146577. The reversal of 20172830146560 is 6564103827102.

20172830146560 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 2 + 83 + 0 + 1 + 4 + 6 + 560 = 666.

It is a super-2 number, since 2×20172830146560² (a number of 27 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 695614832626 + ... + 695614832654.

Almost surely, 2^{20172830146560} is an apocalyptic number.

20172830146560 is a gapful number since it is divisible by the number (20) 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 20172830146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46210481644320).

20172830146560 is an abundant number, since it is smaller than the sum of its proper divisors (72248133142080).

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

20172830146560 is an frugal number, since it uses more digits than its factorization.

20172830146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20172830146560 in words is "twenty trillion, one hundred seventy-two billion, eight hundred thirty million, one hundred forty-six thousand, five hundred sixty".