1681924675200 has 768 divisors, whose sum is σ = 7313150499840. Its totient is φ = 328930099200.

The previous prime is 1681924675181. The next prime is 1681924675229. The reversal of 1681924675200 is 25764291861.

It is a super-2 number, since 2×1681924675200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12499479 + ... + 12633321.

It is an arithmetic number, because the mean of its divisors is an integer number (9522331380).

Almost surely, 2^{1681924675200} is an apocalyptic number.

1681924675200 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 1681924675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656575249920).

1681924675200 is an abundant number, since it is smaller than the sum of its proper divisors (5631225824640).

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

1681924675200 is a wasteful number, since it uses less digits than its factorization.

1681924675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133905 (or 133888 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1681924675200 in words is "one trillion, six hundred eighty-one billion, nine hundred twenty-four million, six hundred seventy-five thousand, two hundred".