17887374779680 has 192 divisors, whose sum is σ = 48624182675712. Its totient is φ = 6091257876480.

The previous prime is 17887374779671. The next prime is 17887374779711. The reversal of 17887374779680 is 8697747378871.

It is a junction number, because it is equal to n+sod(n) for n = 17887374779594 and 17887374779603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106951482 + ... + 107118598.

It is an arithmetic number, because the mean of its divisors is an integer number (253250951436).

Almost surely, 2^{17887374779680} is an apocalyptic number.

17887374779680 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 17887374779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312091337856).

17887374779680 is an abundant number, since it is smaller than the sum of its proper divisors (30736807896032).

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

17887374779680 is a wasteful number, since it uses less digits than its factorization.

17887374779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167787 (or 167779 counting only the distinct ones).

The product of its (nonzero) digits is 5576159232, while the sum is 82.

The spelling of 17887374779680 in words is "seventeen trillion, eight hundred eighty-seven billion, three hundred seventy-four million, seven hundred seventy-nine thousand, six hundred eighty".