1020166171500 has 384 divisors, whose sum is σ = 3432988016640. Its totient is φ = 230592096000.

The previous prime is 1020166171499. The next prime is 1020166171579. The reversal of 1020166171500 is 51716610201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478725435 + ... + 478727565.

It is an arithmetic number, because the mean of its divisors is an integer number (8940072960).

Almost surely, 2^{1020166171500} is an apocalyptic number.

1020166171500 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 1020166171500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716494008320).

1020166171500 is an abundant number, since it is smaller than the sum of its proper divisors (2412821845140).

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

1020166171500 is a wasteful number, since it uses less digits than its factorization.

1020166171500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 1020166171500 in words is "one trillion, twenty billion, one hundred sixty-six million, one hundred seventy-one thousand, five hundred".