1600087280000 has 640 divisors, whose sum is σ = 4633269379200. Its totient is φ = 544112640000.

The previous prime is 1600087279949. The next prime is 1600087280027. The reversal of 1600087280000 is 827800061.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1600087280000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1387759424 + ... + 1387760576.

It is an arithmetic number, because the mean of its divisors is an integer number (7239483405).

Almost surely, 2^{1600087280000} is an apocalyptic number.

1600087280000 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 1600087280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316634689600).

1600087280000 is an abundant number, since it is smaller than the sum of its proper divisors (3033182099200).

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

1600087280000 is a wasteful number, since it uses less digits than its factorization.

1600087280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 1600087280000 in words is "one trillion, six hundred billion, eighty-seven million, two hundred eighty thousand".