1612016640000 has 2100 divisors, whose sum is σ = 6799737806136. Its totient is φ = 379551744000.

The previous prime is 1612016639971. The next prime is 1612016640041. The reversal of 1612016640000 is 466102161.

1612016640000 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 0 + 16 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 70087679989 + ... + 70087680011.

Almost surely, 2^{1612016640000} is an apocalyptic number.

1612016640000 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 1612016640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399868903068).

1612016640000 is an abundant number, since it is smaller than the sum of its proper divisors (5187721166136).

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

1612016640000 is an frugal number, since it uses more digits than its factorization.

1612016640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1612016640000 in words is "one trillion, six hundred twelve billion, sixteen million, six hundred forty thousand".