1617167926920 has 1536 divisors, whose sum is σ = 6552741888000. Its totient is φ = 315873976320.

The previous prime is 1617167926897. The next prime is 1617167926937. The reversal of 1617167926920 is 296297617161.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6011776546 + ... + 6011776814.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108000).

Almost surely, 2^{1617167926920} is an apocalyptic number.

1617167926920 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 1617167926920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276370944000).

1617167926920 is an abundant number, since it is smaller than the sum of its proper divisors (4935573961080).

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

1617167926920 is a wasteful number, since it uses less digits than its factorization.

1617167926920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 1617167926920 in words is "one trillion, six hundred seventeen billion, one hundred sixty-seven million, nine hundred twenty-six thousand, nine hundred twenty".