1620286048800 has 288 divisors, whose sum is σ = 5887823780160. Its totient is φ = 430027315200.

The previous prime is 1620286048781. The next prime is 1620286048811. The reversal of 1620286048800 is 88406820261.

1620286048800 is a `hidden beast` number, since 16 + 2 + 0 + 28 + 604 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4379844 + ... + 4735356.

It is an arithmetic number, because the mean of its divisors is an integer number (20443832570).

Almost surely, 2^{1620286048800} is an apocalyptic number.

1620286048800 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 1620286048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943911890080).

1620286048800 is an abundant number, since it is smaller than the sum of its proper divisors (4267537731360).

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

1620286048800 is a wasteful number, since it uses less digits than its factorization.

1620286048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355753 (or 355734 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1620286048800 in words is "one trillion, six hundred twenty billion, two hundred eighty-six million, forty-eight thousand, eight hundred".