1671381855360 has 1024 divisors, whose sum is σ = 7080979046400. Its totient is φ = 364296683520.

The previous prime is 1671381855329. The next prime is 1671381855397. The reversal of 1671381855360 is 635581831761.

It is a happy number.

1671381855360 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 3 + 81 + 8 + 553 + 6 + 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 = 1671381855297 and 1671381855306.

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, 1171254967 + ... + 1171256393.

It is an arithmetic number, because the mean of its divisors is an integer number (6915018600).

Almost surely, 2^{1671381855360} is an apocalyptic number.

1671381855360 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 1671381855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540489523200).

1671381855360 is an abundant number, since it is smaller than the sum of its proper divisors (5409597191040).

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

1671381855360 is a wasteful number, since it uses less digits than its factorization.

1671381855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1671381855360 in words is "one trillion, six hundred seventy-one billion, three hundred eighty-one million, eight hundred fifty-five thousand, three hundred sixty".