1681380892800 has 2880 divisors, whose sum is σ = 7976608928640. Its totient is φ = 340402176000.

The previous prime is 1681380892777. The next prime is 1681380892801. The reversal of 1681380892800 is 82980831861.

1681380892800 is a `hidden beast` number, since 168 + 1 + 380 + 89 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (1681380892801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11134972725 + ... + 11134972875.

It is an arithmetic number, because the mean of its divisors is an integer number (2769655878).

Almost surely, 2^{1681380892800} is an apocalyptic number.

1681380892800 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 1681380892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988304464320).

1681380892800 is an abundant number, since it is smaller than the sum of its proper divisors (6295228035840).

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

1681380892800 is a wasteful number, since it uses less digits than its factorization.

1681380892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1681380892800 in words is "one trillion, six hundred eighty-one billion, three hundred eighty million, eight hundred ninety-two thousand, eight hundred".