1680511795200 has 1632 divisors, whose sum is σ = 7250050808320. Its totient is φ = 378383892480.

The previous prime is 1680511795163. The next prime is 1680511795201. The reversal of 1680511795200 is 25971150861.

1680511795200 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 5 + 117 + 9 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680511795201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25082265567 + ... + 25082265633.

Almost surely, 2^{1680511795200} is an apocalyptic number.

1680511795200 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 1680511795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625025404160).

1680511795200 is an abundant number, since it is smaller than the sum of its proper divisors (5569539013120).

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

1680511795200 is an frugal number, since it uses more digits than its factorization.

1680511795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1680511795200 in words is "one trillion, six hundred eighty billion, five hundred eleven million, seven hundred ninety-five thousand, two hundred".