1600073220096 has 720 divisors, whose sum is σ = 5216952031200. Its totient is φ = 469160165376.

The previous prime is 1600073220077. The next prime is 1600073220101. The reversal of 1600073220096 is 6900223700061.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1600073220096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5948227450 + ... + 5948227718.

It is an arithmetic number, because the mean of its divisors is an integer number (7245766710).

Almost surely, 2^{1600073220096} is an apocalyptic number.

1600073220096 is a gapful number since it is divisible by the number (16) 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 1600073220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608476015600).

1600073220096 is an abundant number, since it is smaller than the sum of its proper divisors (3616878811104).

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

1600073220096 is a wasteful number, since it uses less digits than its factorization.

1600073220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1600073220096 in words is "one trillion, six hundred billion, seventy-three million, two hundred twenty thousand, ninety-six".