1681319296800 has 1296 divisors, whose sum is σ = 7152982507944. Its totient is φ = 369008640000.

The previous prime is 1681319296777. The next prime is 1681319296823. The reversal of 1681319296800 is 86929131861.

1681319296800 is a `hidden beast` number, since 168 + 1 + 319 + 2 + 96 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1681319296777) and next prime (1681319296823).

It can be written as a sum of positive squares in 12 ways, for example, as 51009125904 + 1630310170896 = 225852^2 + 1276836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 600255400 + ... + 600258200.

Almost surely, 2^{1681319296800} is an apocalyptic number.

1681319296800 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 1681319296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576491253972).

1681319296800 is an abundant number, since it is smaller than the sum of its proper divisors (5471663211144).

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

1681319296800 is a wasteful number, since it uses less digits than its factorization.

1681319296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1681319296800 in words is "one trillion, six hundred eighty-one billion, three hundred nineteen million, two hundred ninety-six thousand, eight hundred".