1600155648000 has 2560 divisors, whose sum is σ = 7481609815680. Its totient is φ = 331245158400.

The previous prime is 1600155647899. The next prime is 1600155648001. The reversal of 1600155648000 is 8465510061.

1600155648000 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 1 + 5 + 5 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600155648001) 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 159 ways as a sum of consecutive naturals, for example, 30191615974 + ... + 30191616026.

Almost surely, 2^{1600155648000} is an apocalyptic number.

1600155648000 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 1600155648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740804907840).

1600155648000 is an abundant number, since it is smaller than the sum of its proper divisors (5881454167680).

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

1600155648000 is an frugal number, since it uses more digits than its factorization.

1600155648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1600155648000 in words is "one trillion, six hundred billion, one hundred fifty-five million, six hundred forty-eight thousand".