1628869132800 has 2400 divisors, whose sum is σ = 7561048978560. Its totient is φ = 341397504000.

The previous prime is 1628869132769. The next prime is 1628869132873. The reversal of 1628869132800 is 82319688261.

1628869132800 is a `hidden beast` number, since 1 + 628 + 8 + 6 + 9 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10787212725 + ... + 10787212875.

Almost surely, 2^{1628869132800} is an apocalyptic number.

1628869132800 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 1628869132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780524489280).

1628869132800 is an abundant number, since it is smaller than the sum of its proper divisors (5932179845760).

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

1628869132800 is an equidigital number, since it uses as much as digits as its factorization.

1628869132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1628869132800 in words is "one trillion, six hundred twenty-eight billion, eight hundred sixty-nine million, one hundred thirty-two thousand, eight hundred".