17087051907072 has 1200 divisors, whose sum is σ = 62160815078208. Its totient is φ = 4566087106560.

The previous prime is 17087051907047. The next prime is 17087051907091. The reversal of 17087051907072 is 27070915078071.

It is a super-2 number, since 2×17087051907072² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40586821422 + ... + 40586821842.

Almost surely, 2^{17087051907072} is an apocalyptic number.

17087051907072 is a gapful number since it is divisible by the number (12) 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 17087051907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31080407539104).

17087051907072 is an abundant number, since it is smaller than the sum of its proper divisors (45073763171136).

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

17087051907072 is an equidigital number, since it uses as much as digits as its factorization.

17087051907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 54.

The spelling of 17087051907072 in words is "seventeen trillion, eighty-seven billion, fifty-one million, nine hundred seven thousand, seventy-two".