1600088008896 has 336 divisors, whose sum is σ = 5180028451200. Its totient is φ = 483984903168.

The previous prime is 1600088008877. The next prime is 1600088008919. The reversal of 1600088008896 is 6988008800061.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 17183455 + ... + 17276321.

Almost surely, 2^{1600088008896} is an apocalyptic number.

1600088008896 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 1600088008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590014225600).

1600088008896 is an abundant number, since it is smaller than the sum of its proper divisors (3579940442304).

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

1600088008896 is a wasteful number, since it uses less digits than its factorization.

1600088008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92973 (or 92944 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1600088008896 in words is "one trillion, six hundred billion, eighty-eight million, eight thousand, eight hundred ninety-six".