1989975600 has 360 divisors, whose sum is σ = 7303907520. Its totient is φ = 520162560.

The previous prime is 1989975593. The next prime is 1989975671. The reversal of 1989975600 is 65799891.

1989975600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5734627 + ... + 5734973.

It is an arithmetic number, because the mean of its divisors is an integer number (20288632).

Almost surely, 2^1989975600 is an apocalyptic number.

1989975600 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 1989975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651953760).

1989975600 is an abundant number, since it is smaller than the sum of its proper divisors (5313931920).

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

1989975600 is a wasteful number, since it uses less digits than its factorization.

1989975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 1989975600 is about 44609.1425606904. The cubic root of 1989975600 is about 1257.8125310932.

The spelling of 1989975600 in words is "one billion, nine hundred eighty-nine million, nine hundred seventy-five thousand, six hundred".