1628502220800 has 3024 divisors, whose sum is σ = 7797638262960. Its totient is φ = 321052999680.

The previous prime is 1628502220799. The next prime is 1628502220837. The reversal of 1628502220800 is 80222058261.

1628502220800 is a `hidden beast` number, since 1 + 628 + 5 + 0 + 2 + 2 + 20 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22308249564 + ... + 22308249636.

Almost surely, 2^{1628502220800} is an apocalyptic number.

1628502220800 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 1628502220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898819131480).

1628502220800 is an abundant number, since it is smaller than the sum of its proper divisors (6169136042160).

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

1628502220800 is a wasteful number, since it uses less digits than its factorization.

1628502220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1628502220800 in words is "one trillion, six hundred twenty-eight billion, five hundred two million, two hundred twenty thousand, eight hundred".