1988812800 has 504 divisors, whose sum is σ = 7764362424. Its totient is φ = 483655680.

The previous prime is 1988812799. The next prime is 1988812817. The reversal of 1988812800 is 82188891.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961559 + ... + 23961641.

It is an arithmetic number, because the mean of its divisors is an integer number (15405481).

Almost surely, 2^1988812800 is an apocalyptic number.

1988812800 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 1988812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882181212).

1988812800 is an abundant number, since it is smaller than the sum of its proper divisors (5775549624).

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

1988812800 is a wasteful number, since it uses less digits than its factorization.

1988812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 1988812800 is about 44596.1074534538. The cubic root of 1988812800 is about 1257.5674913416.

The spelling of 1988812800 in words is "one billion, nine hundred eighty-eight million, eight hundred twelve thousand, eight hundred".