17679992101920 has 288 divisors, whose sum is σ = 61494660864000. Its totient is φ = 4623953098752.

The previous prime is 17679992101913. The next prime is 17679992101921. The reversal of 17679992101920 is 2910129997671.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (17679992101921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207471481 + ... + 207556679.

It is an arithmetic number, because the mean of its divisors is an integer number (213523128000).

Almost surely, 2^{17679992101920} is an apocalyptic number.

17679992101920 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 17679992101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30747330432000).

17679992101920 is an abundant number, since it is smaller than the sum of its proper divisors (43814668762080).

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

17679992101920 is a wasteful number, since it uses less digits than its factorization.

17679992101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87992 (or 87981 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 63.

The spelling of 17679992101920 in words is "seventeen trillion, six hundred seventy-nine billion, nine hundred ninety-two million, one hundred one thousand, nine hundred twenty".