1989819786240 has 2816 divisors, whose sum is σ = 9127715143680. Its totient is φ = 403439616000.

The previous prime is 1989819786221. The next prime is 1989819786343. The reversal of 1989819786240 is 426879189891.

1989819786240 is a `hidden beast` number, since 198 + 9 + 8 + 197 + 8 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10417904545 + ... + 10417904735.

Almost surely, 2^{1989819786240} is an apocalyptic number.

1989819786240 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 1989819786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563857571840).

1989819786240 is an abundant number, since it is smaller than the sum of its proper divisors (7137895357440).

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

1989819786240 is a wasteful number, since it uses less digits than its factorization.

1989819786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 1989819786240 in words is "one trillion, nine hundred eighty-nine billion, eight hundred nineteen million, seven hundred eighty-six thousand, two hundred forty".