19740000170880 has 1536 divisors, whose sum is σ = 82358947238400. Its totient is φ = 4449027686400.

The previous prime is 19740000170861. The next prime is 19740000170893. The reversal of 19740000170880 is 8807100004791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2950228335 + ... + 2950235025.

It is an arithmetic number, because the mean of its divisors is an integer number (53619106275).

Almost surely, 2^{19740000170880} is an apocalyptic number.

19740000170880 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 19740000170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41179473619200).

19740000170880 is an abundant number, since it is smaller than the sum of its proper divisors (62618947067520).

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

19740000170880 is a wasteful number, since it uses less digits than its factorization.

19740000170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 19740000170880 in words is "nineteen trillion, seven hundred forty billion, one hundred seventy thousand, eight hundred eighty".