1989623750400 has 1944 divisors, whose sum is σ = 8905290868656. Its totient is φ = 418657075200.

The previous prime is 1989623750377. The next prime is 1989623750441. The reversal of 1989623750400 is 40573269891.

1989623750400 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 623 + 7 + 5 + 0 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1820332254 + ... + 1820333346.

It is a 1-persistent number, because it is pandigital, but 2⋅1989623750400 = 3979247500800 is not.

Almost surely, 2^{1989623750400} is an apocalyptic number.

1989623750400 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 1989623750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452645434328).

1989623750400 is an abundant number, since it is smaller than the sum of its proper divisors (6915667118256).

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

1989623750400 is a wasteful number, since it uses less digits than its factorization.

1989623750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 1989 and 623750400, that multiplied together give a square (1240639545600 = 1113840²).

The spelling of 1989623750400 in words is "one trillion, nine hundred eighty-nine billion, six hundred twenty-three million, seven hundred fifty thousand, four hundred".