1721516394960 has 160 divisors (see below), whose sum is σ = 5932973420160. Its totient is φ = 458815104000.

The previous prime is 1721516394959. The next prime is 1721516394989. The reversal of 1721516394960 is 694936151271.

1721516394960 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 516 + 39 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1721516394897 and 1721516394906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3668895 + ... + 4111425.

It is an arithmetic number, because the mean of its divisors is an integer number (37081083876).

Almost surely, 2^{1721516394960} is an apocalyptic number.

1721516394960 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 1721516394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966486710080).

1721516394960 is an abundant number, since it is smaller than the sum of its proper divisors (4211457025200).

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

1721516394960 is a wasteful number, since it uses less digits than its factorization.

1721516394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444354 (or 444342 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1721516394960 in words is "one trillion, seven hundred twenty-one billion, five hundred sixteen million, three hundred ninety-four thousand, nine hundred sixty".