1671334054560 has 1152 divisors, whose sum is σ = 6541013606400. Its totient is φ = 401361039360.

The previous prime is 1671334054519. The next prime is 1671334054583. The reversal of 1671334054560 is 654504331761.

1671334054560 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 3 + 3 + 40 + 545 + 60 = 666.

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

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, 1351118262 + ... + 1351119498.

It is an arithmetic number, because the mean of its divisors is an integer number (5677963200).

Almost surely, 2^{1671334054560} is an apocalyptic number.

1671334054560 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 1671334054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270506803200).

1671334054560 is an abundant number, since it is smaller than the sum of its proper divisors (4869679551840).

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

1671334054560 is a wasteful number, since it uses less digits than its factorization.

1671334054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1671334054560 in words is "one trillion, six hundred seventy-one billion, three hundred thirty-four million, fifty-four thousand, five hundred sixty".